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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN488+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:14:08 PM UTC 2026

% Result   : Theorem 0.20s 0.33s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a2402)
          & c3_1(a2402)
          & ~ c1_1(a2402) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a2403)
          & ~ c2_1(a2403)
          & ~ c3_1(a2403) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a2404)
          & ~ c2_1(a2404)
          & ~ c3_1(a2404) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a2405)
          & c2_1(a2405)
          & ~ c3_1(a2405) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a2407)
          & ~ c1_1(a2407)
          & ~ c2_1(a2407) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a2408)
          & c3_1(a2408)
          & ~ c2_1(a2408) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a2410)
          & c1_1(a2410)
          & ~ c2_1(a2410) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a2411)
          & ~ c1_1(a2411)
          & ~ c3_1(a2411) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a2412)
          & ~ c0_1(a2412)
          & ~ c2_1(a2412) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a2413)
          & ~ c0_1(a2413)
          & ~ c1_1(a2413) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a2414)
          & ~ c1_1(a2414)
          & ~ c3_1(a2414) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a2416)
          & ~ c1_1(a2416)
          & ~ c2_1(a2416) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a2417)
          & ~ c0_1(a2417)
          & ~ c1_1(a2417) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a2418)
          & c2_1(a2418)
          & ~ c0_1(a2418) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a2420)
          & c2_1(a2420)
          & ~ c3_1(a2420) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a2422)
          & c3_1(a2422)
          & ~ c2_1(a2422) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a2425)
          & ~ c2_1(a2425)
          & ~ c3_1(a2425) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a2427)
          & c3_1(a2427)
          & ~ c1_1(a2427) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c0_1(a2428)
          & ~ c2_1(a2428)
          & ~ c3_1(a2428) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a2432)
          & c3_1(a2432)
          & ~ c0_1(a2432) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c3_1(a2435)
          & ~ c0_1(a2435)
          & ~ c2_1(a2435) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2437)
          & c2_1(a2437)
          & ~ c1_1(a2437) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a2453)
          & ~ c1_1(a2453)
          & ~ c2_1(a2453) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a2455)
          & c3_1(a2455)
          & ~ c0_1(a2455) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a2468)
          & ~ c0_1(a2468)
          & ~ c3_1(a2468) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a2478)
          & ~ c0_1(a2478)
          & ~ c3_1(a2478) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a2484)
          & c1_1(a2484)
          & ~ c3_1(a2484) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c0_1(a2500)
          & ~ c1_1(a2500)
          & ~ c3_1(a2500) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a2406)
          & c2_1(a2406)
          & c3_1(a2406) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a2409)
          & c2_1(a2409)
          & c3_1(a2409) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2450)
          & c1_1(a2450)
          & c3_1(a2450) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a2498)
          & c1_1(a2498)
          & c2_1(a2498) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | ~ c0_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | ~ c2_1(X6)
              | ~ c3_1(X6) ) )
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | c3_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | ~ c1_1(X9)
              | ~ c3_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c3_1(X11)
              | ~ c1_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp2 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | hskp3
        | hskp28 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c1_1(X17)
              | ~ c3_1(X17) ) )
        | hskp4 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c2_1(X19)
              | ~ c3_1(X19) ) )
        | hskp5 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c0_1(X21)
              | ~ c3_1(X21) ) )
        | hskp29 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c2_1(X22) ) )
        | hskp6
        | hskp7 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c2_1(X23) ) )
        | hskp8
        | hskp9 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | ~ c2_1(X26)
              | ~ c3_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) )
        | hskp10 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | hskp6
        | hskp11 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c3_1(X30) ) )
        | hskp12 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c1_1(X33)
              | ~ c3_1(X33) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | hskp13
        | hskp1 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) )
        | hskp14
        | hskp1 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | c2_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | ~ c0_1(X38)
              | ~ c1_1(X38) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | ~ c1_1(X40)
              | ~ c2_1(X40) ) )
        | hskp15 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c1_1(X41) ) )
        | hskp29
        | hskp0 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c1_1(X42) ) )
        | hskp16
        | hskp13 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | hskp17
        | hskp18 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c3_1(X45)
              | ~ c0_1(X45)
              | ~ c2_1(X45) ) )
        | hskp2 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | ~ c1_1(X47)
              | ~ c3_1(X47) ) )
        | hskp12 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | hskp4 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c0_1(X51) ) )
        | hskp19 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c2_1(X52) ) )
        | hskp12
        | hskp11 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | hskp20 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c0_1(X56)
              | ~ c2_1(X56) ) )
        | hskp7 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | hskp21
        | hskp17 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | hskp1
        | hskp9 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | hskp7
        | hskp20 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | hskp2 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp6
        | hskp21 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp28
        | hskp9 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp15 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) )
        | hskp10 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | ~ c0_1(X67) ) )
        | hskp30
        | hskp21 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | hskp5
        | hskp22 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp1 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | hskp23 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | hskp10
        | hskp16 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c0_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c1_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) )
        | hskp3 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c1_1(X80) ) )
        | hskp2 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) )
        | hskp14 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c2_1(X83) ) )
        | hskp0
        | hskp9 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) )
        | hskp16
        | hskp12 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c1_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp21
        | hskp11 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp15
        | hskp24 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c0_1(X93) ) )
        | hskp5
        | hskp19 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | hskp30
        | hskp2 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | hskp6
        | hskp1 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp5
        | hskp1 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | hskp19
        | hskp25 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp25
        | hskp7 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c1_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp30 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp10 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c0_1(X103)
              | ~ c1_1(X103) ) )
        | hskp6
        | hskp26 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c2_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c2_1(X105) ) )
        | hskp20 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) )
        | hskp6
        | hskp23 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c1_1(X107)
              | ~ c2_1(X107) ) )
        | hskp3
        | hskp24 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) )
        | hskp14
        | hskp23 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c2_1(X109)
              | ~ c3_1(X109) ) )
        | hskp20
        | hskp18 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | ~ c2_1(X110)
              | ~ c3_1(X110) ) )
        | hskp21
        | hskp0 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c2_1(X111)
              | ~ c3_1(X111) ) )
        | hskp15
        | hskp11 )
      & ( hskp31
        | hskp25
        | hskp27 )
      & ( hskp30
        | hskp26
        | hskp19 )
      & ( hskp26
        | hskp8
        | hskp11 )
      & ( hskp3
        | hskp5
        | hskp18 )
      & ( hskp5
        | hskp19
        | hskp25 )
      & ( hskp8
        | hskp9
        | hskp7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a2402)
            & c3_1(a2402)
            & ~ c1_1(a2402) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a2403)
            & ~ c2_1(a2403)
            & ~ c3_1(a2403) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a2404)
            & ~ c2_1(a2404)
            & ~ c3_1(a2404) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a2405)
            & c2_1(a2405)
            & ~ c3_1(a2405) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a2407)
            & ~ c1_1(a2407)
            & ~ c2_1(a2407) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a2408)
            & c3_1(a2408)
            & ~ c2_1(a2408) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a2410)
            & c1_1(a2410)
            & ~ c2_1(a2410) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a2411)
            & ~ c1_1(a2411)
            & ~ c3_1(a2411) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a2412)
            & ~ c0_1(a2412)
            & ~ c2_1(a2412) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a2413)
            & ~ c0_1(a2413)
            & ~ c1_1(a2413) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a2414)
            & ~ c1_1(a2414)
            & ~ c3_1(a2414) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a2416)
            & ~ c1_1(a2416)
            & ~ c2_1(a2416) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a2417)
            & ~ c0_1(a2417)
            & ~ c1_1(a2417) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a2418)
            & c2_1(a2418)
            & ~ c0_1(a2418) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a2420)
            & c2_1(a2420)
            & ~ c3_1(a2420) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a2422)
            & c3_1(a2422)
            & ~ c2_1(a2422) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a2425)
            & ~ c2_1(a2425)
            & ~ c3_1(a2425) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a2427)
            & c3_1(a2427)
            & ~ c1_1(a2427) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c0_1(a2428)
            & ~ c2_1(a2428)
            & ~ c3_1(a2428) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a2432)
            & c3_1(a2432)
            & ~ c0_1(a2432) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c3_1(a2435)
            & ~ c0_1(a2435)
            & ~ c2_1(a2435) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2437)
            & c2_1(a2437)
            & ~ c1_1(a2437) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a2453)
            & ~ c1_1(a2453)
            & ~ c2_1(a2453) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a2455)
            & c3_1(a2455)
            & ~ c0_1(a2455) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a2468)
            & ~ c0_1(a2468)
            & ~ c3_1(a2468) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a2478)
            & ~ c0_1(a2478)
            & ~ c3_1(a2478) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a2484)
            & c1_1(a2484)
            & ~ c3_1(a2484) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a2500)
            & ~ c1_1(a2500)
            & ~ c3_1(a2500) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a2406)
            & c2_1(a2406)
            & c3_1(a2406) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a2409)
            & c2_1(a2409)
            & c3_1(a2409) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2450)
            & c1_1(a2450)
            & c3_1(a2450) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a2498)
            & c1_1(a2498)
            & c2_1(a2498) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c0_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | ~ c2_1(X6)
                | ~ c3_1(X6) ) )
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | c3_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c3_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp2 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | hskp3
          | hskp28 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c1_1(X17)
                | ~ c3_1(X17) ) )
          | hskp4 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) )
          | hskp5 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c0_1(X21)
                | ~ c3_1(X21) ) )
          | hskp29 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | hskp6
          | hskp7 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | hskp8
          | hskp9 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | ~ c2_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) )
          | hskp10 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | hskp6
          | hskp11 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | hskp12 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c1_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | hskp13
          | hskp1 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) )
          | hskp14
          | hskp1 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c2_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c0_1(X38)
                | ~ c1_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | ~ c2_1(X40) ) )
          | hskp15 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | hskp29
          | hskp0 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c1_1(X42) ) )
          | hskp16
          | hskp13 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | hskp17
          | hskp18 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | ~ c0_1(X45)
                | ~ c2_1(X45) ) )
          | hskp2 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | ~ c1_1(X47)
                | ~ c3_1(X47) ) )
          | hskp12 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | hskp4 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c0_1(X51) ) )
          | hskp19 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp12
          | hskp11 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | hskp20 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c0_1(X56)
                | ~ c2_1(X56) ) )
          | hskp7 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | hskp21
          | hskp17 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | hskp1
          | hskp9 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | hskp7
          | hskp20 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | hskp2 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp6
          | hskp21 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp28
          | hskp9 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp15 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp10 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) )
          | hskp30
          | hskp21 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | hskp5
          | hskp22 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp1 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | hskp23 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | hskp10
          | hskp16 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | hskp3 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c1_1(X80) ) )
          | hskp2 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | hskp14 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) )
          | hskp0
          | hskp9 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) )
          | hskp16
          | hskp12 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp21
          | hskp11 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp15
          | hskp24 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) )
          | hskp5
          | hskp19 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp30
          | hskp2 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp6
          | hskp1 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp5
          | hskp1 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp19
          | hskp25 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp25
          | hskp7 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp30 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp10 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | hskp6
          | hskp26 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp20 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) )
          | hskp6
          | hskp23 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c1_1(X107)
                | ~ c2_1(X107) ) )
          | hskp3
          | hskp24 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | hskp14
          | hskp23 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c2_1(X109)
                | ~ c3_1(X109) ) )
          | hskp20
          | hskp18 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c2_1(X110)
                | ~ c3_1(X110) ) )
          | hskp21
          | hskp0 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c2_1(X111)
                | ~ c3_1(X111) ) )
          | hskp15
          | hskp11 )
        & ( hskp31
          | hskp25
          | hskp27 )
        & ( hskp30
          | hskp26
          | hskp19 )
        & ( hskp26
          | hskp8
          | hskp11 )
        & ( hskp3
          | hskp5
          | hskp18 )
        & ( hskp5
          | hskp19
          | hskp25 )
        & ( hskp8
          | hskp9
          | hskp7 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a2402)
        & c3_1(a2402)
        & ~ c1_1(a2402) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ~ c3_1(a2404) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a2405)
        & c2_1(a2405)
        & ~ c3_1(a2405) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2407)
        & ~ c1_1(a2407)
        & ~ c2_1(a2407) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2408)
        & c3_1(a2408)
        & ~ c2_1(a2408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2410)
        & c1_1(a2410)
        & ~ c2_1(a2410) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2411)
        & ~ c1_1(a2411)
        & ~ c3_1(a2411) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412)
        & ~ c2_1(a2412) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2413)
        & ~ c0_1(a2413)
        & ~ c1_1(a2413) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a2414)
        & ~ c1_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a2417)
        & ~ c0_1(a2417)
        & ~ c1_1(a2417) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2418)
        & c2_1(a2418)
        & ~ c0_1(a2418) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a2420)
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a2422)
        & c3_1(a2422)
        & ~ c2_1(a2422) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2425)
        & ~ c2_1(a2425)
        & ~ c3_1(a2425) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2428)
        & ~ c2_1(a2428)
        & ~ c3_1(a2428) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a2432)
        & c3_1(a2432)
        & ~ c0_1(a2432) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2453)
        & ~ c1_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a2455)
        & c3_1(a2455)
        & ~ c0_1(a2455) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2468)
        & ~ c0_1(a2468)
        & ~ c3_1(a2468) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a2478)
        & ~ c0_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2484)
        & c1_1(a2484)
        & ~ c3_1(a2484) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a2500)
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a2406)
        & c2_1(a2406)
        & c3_1(a2406) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a2409)
        & c2_1(a2409)
        & c3_1(a2409) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2450)
        & c1_1(a2450)
        & c3_1(a2450) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2498)
        & c1_1(a2498)
        & c2_1(a2498) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | ~ c0_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | ~ c2_1(X6)
            | ~ c3_1(X6) ) )
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | c3_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | ~ c1_1(X9)
            | ~ c3_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | c3_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | ~ c1_1(X12)
            | ~ c3_1(X12) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp2 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | hskp3
      | hskp28 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | ~ c1_1(X17)
            | ~ c3_1(X17) ) )
      | hskp4 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c2_1(X19)
            | ~ c3_1(X19) ) )
      | hskp5 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c0_1(X21)
            | ~ c3_1(X21) ) )
      | hskp29 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c2_1(X22) ) )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c2_1(X23) ) )
      | hskp8
      | hskp9 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | ~ c2_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | ~ c2_1(X28)
            | ~ c3_1(X28) ) )
      | hskp10 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c3_1(X29) ) )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c1_1(X30)
            | ~ c3_1(X30) ) )
      | hskp12 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c1_1(X32)
            | ~ c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c1_1(X33)
            | ~ c3_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | c3_1(X34) ) )
      | hskp13
      | hskp1 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | c3_1(X35) ) )
      | hskp14
      | hskp1 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c2_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | ~ c0_1(X38)
            | ~ c1_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c1_1(X40)
            | ~ c2_1(X40) ) )
      | hskp15 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c1_1(X41) ) )
      | hskp29
      | hskp0 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c1_1(X42) ) )
      | hskp16
      | hskp13 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c1_1(X43) ) )
      | hskp17
      | hskp18 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | ~ c0_1(X45)
            | ~ c2_1(X45) ) )
      | hskp2 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c2_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | ~ c1_1(X47)
            | ~ c3_1(X47) ) )
      | hskp12 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | ~ c3_1(X49) ) )
      | hskp4 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | ~ c0_1(X51) ) )
      | hskp19 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c2_1(X52) ) )
      | hskp12
      | hskp11 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | hskp20 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | ~ c1_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c3_1(X56)
            | ~ c0_1(X56)
            | ~ c2_1(X56) ) )
      | hskp7 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | hskp21
      | hskp17 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) )
      | hskp1
      | hskp9 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c3_1(X59) ) )
      | hskp7
      | hskp20 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | hskp2 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp6
      | hskp21 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp28
      | hskp9 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | hskp15 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | hskp10 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) )
      | hskp30
      | hskp21 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) )
      | hskp5
      | hskp22 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp1 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c1_1(X72) ) )
      | hskp23 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c3_1(X73) ) )
      | hskp10
      | hskp16 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | ~ c0_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | ~ c2_1(X78) ) )
      | hskp3 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c1_1(X80) ) )
      | hskp2 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c3_1(X81)
            | ~ c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | ~ c0_1(X82)
            | ~ c1_1(X82) ) )
      | hskp14 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c2_1(X83) ) )
      | hskp0
      | hskp9 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c3_1(X84)
            | ~ c2_1(X84) ) )
      | hskp16
      | hskp12 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | ~ c1_1(X90)
            | ~ c3_1(X90) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) )
      | hskp21
      | hskp11 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c2_1(X92)
            | ~ c3_1(X92) ) )
      | hskp15
      | hskp24 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c0_1(X93) ) )
      | hskp5
      | hskp19 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | c3_1(X94)
            | ~ c1_1(X94) ) )
      | hskp30
      | hskp2 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c1_1(X95) ) )
      | hskp6
      | hskp1 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | hskp5
      | hskp1 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c1_1(X97) ) )
      | hskp19
      | hskp25 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp25
      | hskp7 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c1_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp30 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp10 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | ~ c0_1(X103)
            | ~ c1_1(X103) ) )
      | hskp6
      | hskp26 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c0_1(X104)
            | ~ c2_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c1_1(X105)
            | ~ c2_1(X105) ) )
      | hskp20 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c1_1(X106)
            | ~ c2_1(X106) ) )
      | hskp6
      | hskp23 )
    & ( ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | ~ c1_1(X107)
            | ~ c2_1(X107) ) )
      | hskp3
      | hskp24 )
    & ( ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | ~ c1_1(X108)
            | ~ c3_1(X108) ) )
      | hskp14
      | hskp23 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c2_1(X109)
            | ~ c3_1(X109) ) )
      | hskp20
      | hskp18 )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | ~ c2_1(X110)
            | ~ c3_1(X110) ) )
      | hskp21
      | hskp0 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | ~ c2_1(X111)
            | ~ c3_1(X111) ) )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a2402)
        & c3_1(a2402)
        & ~ c1_1(a2402) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ~ c3_1(a2404) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a2405)
        & c2_1(a2405)
        & ~ c3_1(a2405) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2407)
        & ~ c1_1(a2407)
        & ~ c2_1(a2407) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2408)
        & c3_1(a2408)
        & ~ c2_1(a2408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2410)
        & c1_1(a2410)
        & ~ c2_1(a2410) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2411)
        & ~ c1_1(a2411)
        & ~ c3_1(a2411) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412)
        & ~ c2_1(a2412) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2413)
        & ~ c0_1(a2413)
        & ~ c1_1(a2413) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a2414)
        & ~ c1_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a2417)
        & ~ c0_1(a2417)
        & ~ c1_1(a2417) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2418)
        & c2_1(a2418)
        & ~ c0_1(a2418) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a2420)
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a2422)
        & c3_1(a2422)
        & ~ c2_1(a2422) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2425)
        & ~ c2_1(a2425)
        & ~ c3_1(a2425) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2428)
        & ~ c2_1(a2428)
        & ~ c3_1(a2428) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a2432)
        & c3_1(a2432)
        & ~ c0_1(a2432) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2453)
        & ~ c1_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a2455)
        & c3_1(a2455)
        & ~ c0_1(a2455) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2468)
        & ~ c0_1(a2468)
        & ~ c3_1(a2468) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a2478)
        & ~ c0_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2484)
        & c1_1(a2484)
        & ~ c3_1(a2484) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a2500)
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a2406)
        & c2_1(a2406)
        & c3_1(a2406) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a2409)
        & c2_1(a2409)
        & c3_1(a2409) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2450)
        & c1_1(a2450)
        & c3_1(a2450) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2498)
        & c1_1(a2498)
        & c2_1(a2498) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c2_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp3
      | hskp28 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c0_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp16
      | hskp13 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c0_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp6
      | hskp21 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp28
      | hskp9 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp30
      | hskp21 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | hskp5
      | hskp22 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp10
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp0
      | hskp9 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp16
      | hskp12 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp21
      | hskp11 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp5
      | hskp19 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp30
      | hskp2 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp6
      | hskp1 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp19
      | hskp25 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp25
      | hskp7 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp6
      | hskp23 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | hskp3
      | hskp24 )
    & ( ! [X108] :
          ( ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | hskp20
      | hskp18 )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp21
      | hskp0 )
    & ( ! [X111] :
          ( ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a2402)
        & c3_1(a2402)
        & ~ c1_1(a2402) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a2403)
        & ~ c2_1(a2403)
        & ~ c3_1(a2403) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a2404)
        & ~ c2_1(a2404)
        & ~ c3_1(a2404) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a2405)
        & c2_1(a2405)
        & ~ c3_1(a2405) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2407)
        & ~ c1_1(a2407)
        & ~ c2_1(a2407) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2408)
        & c3_1(a2408)
        & ~ c2_1(a2408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a2410)
        & c1_1(a2410)
        & ~ c2_1(a2410) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2411)
        & ~ c1_1(a2411)
        & ~ c3_1(a2411) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a2412)
        & ~ c0_1(a2412)
        & ~ c2_1(a2412) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2413)
        & ~ c0_1(a2413)
        & ~ c1_1(a2413) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a2414)
        & ~ c1_1(a2414)
        & ~ c3_1(a2414) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a2416)
        & ~ c1_1(a2416)
        & ~ c2_1(a2416) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a2417)
        & ~ c0_1(a2417)
        & ~ c1_1(a2417) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a2418)
        & c2_1(a2418)
        & ~ c0_1(a2418) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a2420)
        & c2_1(a2420)
        & ~ c3_1(a2420) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a2422)
        & c3_1(a2422)
        & ~ c2_1(a2422) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a2425)
        & ~ c2_1(a2425)
        & ~ c3_1(a2425) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2427)
        & c3_1(a2427)
        & ~ c1_1(a2427) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a2428)
        & ~ c2_1(a2428)
        & ~ c3_1(a2428) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a2432)
        & c3_1(a2432)
        & ~ c0_1(a2432) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a2435)
        & ~ c0_1(a2435)
        & ~ c2_1(a2435) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2437)
        & c2_1(a2437)
        & ~ c1_1(a2437) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a2453)
        & ~ c1_1(a2453)
        & ~ c2_1(a2453) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a2455)
        & c3_1(a2455)
        & ~ c0_1(a2455) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2468)
        & ~ c0_1(a2468)
        & ~ c3_1(a2468) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a2478)
        & ~ c0_1(a2478)
        & ~ c3_1(a2478) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a2484)
        & c1_1(a2484)
        & ~ c3_1(a2484) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a2500)
        & ~ c1_1(a2500)
        & ~ c3_1(a2500) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a2406)
        & c2_1(a2406)
        & c3_1(a2406) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a2409)
        & c2_1(a2409)
        & c3_1(a2409) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2450)
        & c1_1(a2450)
        & c3_1(a2450) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a2498)
        & c1_1(a2498)
        & c2_1(a2498) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c2_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp3
      | hskp28 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c0_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6
      | hskp11 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp29
      | hskp0 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp16
      | hskp13 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp12
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c3_1(X56)
          | ~ c0_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp1
      | hskp9 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp6
      | hskp21 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp28
      | hskp9 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp30
      | hskp21 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | hskp5
      | hskp22 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp10
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp0
      | hskp9 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp16
      | hskp12 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp21
      | hskp11 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp15
      | hskp24 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp5
      | hskp19 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp30
      | hskp2 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp6
      | hskp1 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp19
      | hskp25 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp25
      | hskp7 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c1_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp6
      | hskp23 )
    & ( ! [X107] :
          ( ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | hskp3
      | hskp24 )
    & ( ! [X108] :
          ( ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | hskp20
      | hskp18 )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp21
      | hskp0 )
    & ( ! [X111] :
          ( ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp15
      | hskp11 )
    & ( hskp31
      | hskp25
      | hskp27 )
    & ( hskp30
      | hskp26
      | hskp19 )
    & ( hskp26
      | hskp8
      | hskp11 )
    & ( hskp3
      | hskp5
      | hskp18 )
    & ( hskp5
      | hskp19
      | hskp25 )
    & ( hskp8
      | hskp9
      | hskp7 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp8
    | hskp9
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp26
    | hskp8
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp30
    | hskp26
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X111] :
      ( ~ c1_1(X111)
      | ~ c2_1(X111)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | hskp15
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X110] :
      ( ~ c1_1(X110)
      | ~ c2_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp21
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X108] :
      ( ~ c0_1(X108)
      | ~ c1_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | hskp14
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X107] :
      ( ~ c0_1(X107)
      | ~ c1_1(X107)
      | ~ c2_1(X107)
      | ~ ndr1_0
      | hskp3
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X106] :
      ( c3_1(X106)
      | ~ c1_1(X106)
      | ~ c2_1(X106)
      | ~ ndr1_0
      | hskp6
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c2_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c2_1(X105)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X99,X100] :
      ( c2_1(X99)
      | ~ c1_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X95] :
      ( c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp6
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X93] :
      ( c2_1(X93)
      | c3_1(X93)
      | ~ c0_1(X93)
      | ~ ndr1_0
      | hskp5
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X92] :
      ( c1_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp15
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X91] :
      ( c1_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp21
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X90,X88,X89] :
      ( c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | ~ c0_1(X90)
      | ~ c1_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X86,X87,X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X84] :
      ( c1_1(X84)
      | c3_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | hskp16
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X83] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | hskp0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X82,X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | ~ c0_1(X82)
      | ~ c1_1(X82)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ c1_1(X80)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | c3_1(X77)
      | ~ c2_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X68] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | hskp5
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | hskp30
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X62] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp6
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | ~ c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X59] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X58] :
      ( c0_1(X58)
      | ~ c1_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | hskp1
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp21
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X56,X55] :
      ( c0_1(X55)
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X52] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | ~ c1_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c3_1(X45)
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X42] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | hskp16
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X41] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | hskp29
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X38,X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | ~ c0_1(X37)
      | ~ ndr1_0
      | c2_1(X38)
      | ~ c0_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X34] :
      ( c0_1(X34)
      | c2_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | hskp13
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X31,X32,X33] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X29] :
      ( c0_1(X29)
      | c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | hskp6
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c1_1(X26)
      | ~ c2_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X22] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c1_1(X21)
      | ~ c0_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | c0_1(X17)
      | ~ c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | c3_1(X15)
      | ~ ndr1_0
      | hskp3
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X10,X11,X12] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | c3_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c2_1(X8)
      | c3_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | c2_1(X9)
      | ~ c1_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp30
    | c3_1(a2450) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp30
    | c1_1(a2450) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp30
    | c0_1(a2450) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c3_1(a2409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c2_1(a2409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c0_1(a2409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp28
    | c3_1(a2406) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp28
    | c2_1(a2406) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp28
    | c1_1(a2406) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp26
    | ~ c3_1(a2484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp26
    | c1_1(a2484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp26
    | c0_1(a2484) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp24
    | ~ c3_1(a2468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp24
    | ~ c0_1(a2468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp24
    | c1_1(a2468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c0_1(a2455) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | c3_1(a2455) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c2_1(a2455) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp22
    | ~ c2_1(a2453) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp22
    | ~ c1_1(a2453) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp22
    | ~ c0_1(a2453) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp21
    | ~ c1_1(a2437) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp21
    | c2_1(a2437) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp21
    | c0_1(a2437) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c2_1(a2435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp20
    | ~ c0_1(a2435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp20
    | c3_1(a2435) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp19
    | ~ c0_1(a2432) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp19
    | c3_1(a2432) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp19
    | c1_1(a2432) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp17
    | ~ c1_1(a2427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp17
    | c3_1(a2427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp17
    | c2_1(a2427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp16
    | ~ c3_1(a2425) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp16
    | ~ c2_1(a2425) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp16
    | c0_1(a2425) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c2_1(a2422) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp15
    | c3_1(a2422) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp15
    | c1_1(a2422) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp14
    | ~ c3_1(a2420) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp14
    | c2_1(a2420) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp14
    | c1_1(a2420) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp13
    | ~ c0_1(a2418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | c2_1(a2418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c1_1(a2418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c1_1(a2417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | ~ c0_1(a2417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | c3_1(a2417) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp11
    | ~ c2_1(a2416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp11
    | ~ c1_1(a2416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp11
    | c3_1(a2416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c3_1(a2414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | ~ c1_1(a2414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c0_1(a2414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c1_1(a2413) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | ~ c0_1(a2413) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | c2_1(a2413) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp8
    | ~ c2_1(a2412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | ~ c0_1(a2412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | c1_1(a2412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp7
    | ~ c3_1(a2411) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp7
    | ~ c1_1(a2411) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp7
    | c2_1(a2411) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c2_1(a2410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | c1_1(a2410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp6
    | c0_1(a2410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c2_1(a2408) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp5
    | c3_1(a2408) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp5
    | c0_1(a2408) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp4
    | ~ c2_1(a2407) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp4
    | ~ c1_1(a2407) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp4
    | c0_1(a2407) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp3
    | ~ c3_1(a2405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp3
    | c2_1(a2405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp3
    | c0_1(a2405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp2
    | ~ c3_1(a2404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp2
    | ~ c2_1(a2404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp2
    | ~ c1_1(a2404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp1
    | ~ c3_1(a2403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp1
    | ~ c2_1(a2403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp1
    | c1_1(a2403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp0
    | ~ c1_1(a2402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp0
    | c3_1(a2402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp0
    | c0_1(a2402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp0
    | ~ c0_1(a2402) ),
    inference(consistent_polarity_flipping,[],[f208]) ).

fof(f211,plain,
    ( ~ hskp0
    | c1_1(a2402) ),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f213,plain,
    ( hskp1
    | ~ c1_1(a2403) ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f214,plain,
    ( hskp1
    | c2_1(a2403) ),
    inference(consistent_polarity_flipping,[],[f203]) ).

fof(f215,plain,
    ( hskp1
    | ~ c3_1(a2403) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f216,plain,
    ( ~ hskp2
    | c1_1(a2404) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f217,plain,
    ( ~ hskp2
    | c2_1(a2404) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f219,plain,
    ( hskp3
    | ~ c0_1(a2405) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f220,plain,
    ( hskp3
    | ~ c2_1(a2405) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f221,plain,
    ( hskp3
    | ~ c3_1(a2405) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f223,plain,
    ( hskp4
    | ~ c0_1(a2407) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f224,plain,
    ( hskp4
    | c1_1(a2407) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f225,plain,
    ( hskp4
    | c2_1(a2407) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f227,plain,
    ( hskp5
    | ~ c0_1(a2408) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f228,plain,
    ( hskp5
    | c3_1(a2408) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f229,plain,
    ( hskp5
    | c2_1(a2408) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f230,plain,
    ( ~ hskp6
    | ~ c0_1(a2410) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f231,plain,
    ( ~ hskp6
    | ~ c1_1(a2410) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f232,plain,
    ( ~ hskp6
    | c2_1(a2410) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f233,plain,
    ( ~ hskp7
    | ~ c2_1(a2411) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f234,plain,
    ( ~ hskp7
    | c1_1(a2411) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f235,plain,
    ( hskp8
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f236,plain,
    ( hskp8
    | ~ c1_1(a2412) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f237,plain,
    ( hskp8
    | c0_1(a2412) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f238,plain,
    ( hskp8
    | c2_1(a2412) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f239,plain,
    ( ~ hskp9
    | ~ c2_1(a2413) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f240,plain,
    ( ~ hskp9
    | c0_1(a2413) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f241,plain,
    ( ~ hskp9
    | c1_1(a2413) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f242,plain,
    ( ~ hskp10
    | ~ c0_1(a2414) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f243,plain,
    ( ~ hskp10
    | c1_1(a2414) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f244,plain,
    ( ~ hskp11
    | c1_1(a2416) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f245,plain,
    ( ~ hskp11
    | c2_1(a2416) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f246,plain,
    ( ~ hskp12
    | c0_1(a2417) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f247,plain,
    ( ~ hskp12
    | c1_1(a2417) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f248,plain,
    ( ~ hskp13
    | ~ c1_1(a2418) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f249,plain,
    ( ~ hskp13
    | ~ c2_1(a2418) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f250,plain,
    ( ~ hskp13
    | c0_1(a2418) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f252,plain,
    ( hskp14
    | ~ c1_1(a2420) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f253,plain,
    ( hskp14
    | ~ c2_1(a2420) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f254,plain,
    ( hskp14
    | ~ c3_1(a2420) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f256,plain,
    ( hskp15
    | ~ c1_1(a2422) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f257,plain,
    ( hskp15
    | c3_1(a2422) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f258,plain,
    ( hskp15
    | c2_1(a2422) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f259,plain,
    ( ~ hskp16
    | ~ c0_1(a2425) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f260,plain,
    ( ~ hskp16
    | c2_1(a2425) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f261,plain,
    ( ~ hskp17
    | ~ c2_1(a2427) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f262,plain,
    ( ~ hskp17
    | c1_1(a2427) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f268,plain,
    ( hskp19
    | ~ c1_1(a2432) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f269,plain,
    ( hskp19
    | c3_1(a2432) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f270,plain,
    ( hskp19
    | c0_1(a2432) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f271,plain,
    ( ~ hskp20
    | c0_1(a2435) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f272,plain,
    ( ~ hskp20
    | c2_1(a2435) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f274,plain,
    ( hskp21
    | ~ c0_1(a2437) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f275,plain,
    ( hskp21
    | ~ c2_1(a2437) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f276,plain,
    ( hskp21
    | c1_1(a2437) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f277,plain,
    ( ~ hskp22
    | c0_1(a2453) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f278,plain,
    ( ~ hskp22
    | c1_1(a2453) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f279,plain,
    ( ~ hskp22
    | c2_1(a2453) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f280,plain,
    ( ~ hskp23
    | ~ c2_1(a2455) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f281,plain,
    ( ~ hskp23
    | c0_1(a2455) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f282,plain,
    ( ~ hskp24
    | ~ c1_1(a2468) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f283,plain,
    ( ~ hskp24
    | c0_1(a2468) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f288,plain,
    ( ~ hskp26
    | ~ c0_1(a2484) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f289,plain,
    ( ~ hskp26
    | ~ c1_1(a2484) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f294,plain,
    ( ~ hskp28
    | ~ c1_1(a2406) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f295,plain,
    ( ~ hskp28
    | ~ c2_1(a2406) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f297,plain,
    ( hskp29
    | ~ c0_1(a2409) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f298,plain,
    ( hskp29
    | ~ c2_1(a2409) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f299,plain,
    ( hskp29
    | c3_1(a2409) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f301,plain,
    ( hskp30
    | ~ c0_1(a2450) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f302,plain,
    ( hskp30
    | ~ c1_1(a2450) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f303,plain,
    ( hskp30
    | c3_1(a2450) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f307,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | c0_1(X2)
      | c2_1(X2)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f81]) ).

fof(f310,plain,
    ! [X8,X9,X7] :
      ( ~ c0_1(X7)
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | ~ c2_1(X8)
      | c3_1(X8)
      | c0_1(X8)
      | ~ ndr1_0
      | ~ c2_1(X9)
      | c1_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f311,plain,
    ! [X10,X11,X12] :
      ( ~ c0_1(X10)
      | ~ c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | c3_1(X11)
      | c1_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f313,plain,
    ! [X15] :
      ( ~ c0_1(X15)
      | ~ c1_1(X15)
      | c3_1(X15)
      | ~ ndr1_0
      | ~ hskp3
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f314,plain,
    ! [X16,X17] :
      ( ~ c0_1(X16)
      | ~ c1_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f315,plain,
    ! [X18,X19] :
      ( ~ c0_1(X18)
      | ~ c1_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f316,plain,
    ! [X21,X20] :
      ( ~ c0_1(X20)
      | ~ c1_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | c0_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f317,plain,
    ! [X22] :
      ( ~ c0_1(X22)
      | ~ c1_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f319,plain,
    ! [X26,X24,X25] :
      ( ~ c0_1(X24)
      | ~ c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | ~ c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | c2_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f320,plain,
    ! [X28,X27] :
      ( ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f321,plain,
    ! [X29] :
      ( ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | hskp6
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f322,plain,
    ! [X30] :
      ( ~ c0_1(X30)
      | ~ c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f323,plain,
    ! [X31,X32,X33] :
      ( ~ c0_1(X31)
      | ~ c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c1_1(X32)
      | c2_1(X32)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f324,plain,
    ! [X34] :
      ( ~ c0_1(X34)
      | ~ c2_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | hskp13
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f326,plain,
    ! [X38,X36,X37] :
      ( ~ c0_1(X36)
      | ~ c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X37)
      | ~ c2_1(X37)
      | c0_1(X37)
      | ~ ndr1_0
      | ~ c2_1(X38)
      | c0_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f328,plain,
    ! [X41] :
      ( ~ c0_1(X41)
      | ~ c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ hskp29
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f329,plain,
    ! [X42] :
      ( ~ c0_1(X42)
      | ~ c2_1(X42)
      | c1_1(X42)
      | ~ ndr1_0
      | hskp16
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f331,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c3_1(X45)
      | c0_1(X45)
      | c2_1(X45)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f332,plain,
    ! [X46,X47] :
      ( ~ c0_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c1_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f333,plain,
    ! [X48,X49] :
      ( ~ c0_1(X48)
      | c3_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f334,plain,
    ! [X50,X51] :
      ( ~ c0_1(X50)
      | c1_1(X50)
      | c2_1(X50)
      | ~ ndr1_0
      | ~ c1_1(X51)
      | c3_1(X51)
      | c0_1(X51)
      | ~ ndr1_0
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f335,plain,
    ! [X52] :
      ( ~ c0_1(X52)
      | c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | hskp12
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f336,plain,
    ! [X54,X53] :
      ( ~ c0_1(X53)
      | c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f337,plain,
    ! [X56,X55] :
      ( ~ c0_1(X55)
      | c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c3_1(X56)
      | c0_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f338,plain,
    ! [X57] :
      ( ~ c0_1(X57)
      | c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | ~ hskp21
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f339,plain,
    ! [X58] :
      ( ~ c0_1(X58)
      | c1_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ hskp1
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f340,plain,
    ! [X59] :
      ( ~ c0_1(X59)
      | c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f341,plain,
    ! [X60,X61] :
      ( ~ c0_1(X60)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f342,plain,
    ! [X62] :
      ( ~ c0_1(X62)
      | c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp6
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f344,plain,
    ! [X64] :
      ( ~ c0_1(X64)
      | c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f346,plain,
    ! [X67] :
      ( ~ c1_1(X67)
      | ~ c2_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ hskp30
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f347,plain,
    ! [X68] :
      ( ~ c1_1(X68)
      | ~ c2_1(X68)
      | c0_1(X68)
      | ~ ndr1_0
      | ~ hskp5
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f348,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X70)
      | c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f349,plain,
    ! [X72,X71] :
      ( ~ c1_1(X71)
      | ~ c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | ~ c2_1(X72)
      | c3_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f352,plain,
    ! [X78,X77] :
      ( ~ c1_1(X77)
      | c3_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c0_1(X78)
      | c2_1(X78)
      | ~ ndr1_0
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f353,plain,
    ! [X80,X79] :
      ( ~ c1_1(X79)
      | c3_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | ~ c2_1(X80)
      | c0_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f354,plain,
    ! [X82,X81] :
      ( ~ c1_1(X81)
      | c3_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | c0_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f355,plain,
    ! [X83] :
      ( ~ c1_1(X83)
      | c3_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | hskp0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f356,plain,
    ! [X84] :
      ( ~ c1_1(X84)
      | c3_1(X84)
      | c2_1(X84)
      | ~ ndr1_0
      | hskp16
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f357,plain,
    ! [X86,X87,X85] :
      ( ~ c1_1(X85)
      | c0_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | ~ c2_1(X86)
      | c3_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | c0_1(X87)
      | c2_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f358,plain,
    ! [X90,X88,X89] :
      ( ~ c1_1(X88)
      | c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | ~ c2_1(X89)
      | c3_1(X89)
      | c0_1(X89)
      | ~ ndr1_0
      | c0_1(X90)
      | c1_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f359,plain,
    ! [X91] :
      ( ~ c1_1(X91)
      | c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | ~ hskp21
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f360,plain,
    ! [X92] :
      ( ~ c1_1(X92)
      | c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | ~ hskp15
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f361,plain,
    ! [X93] :
      ( ~ c2_1(X93)
      | c3_1(X93)
      | c0_1(X93)
      | ~ ndr1_0
      | ~ hskp5
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f363,plain,
    ! [X95] :
      ( ~ c2_1(X95)
      | c3_1(X95)
      | c1_1(X95)
      | ~ ndr1_0
      | hskp6
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f367,plain,
    ! [X99,X100] :
      ( ~ c2_1(X99)
      | c1_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | c0_1(X100)
      | c1_1(X100)
      | ~ ndr1_0
      | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f370,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | c0_1(X104)
      | c2_1(X104)
      | ~ ndr1_0
      | c0_1(X105)
      | c1_1(X105)
      | c2_1(X105)
      | ~ ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f371,plain,
    ! [X106] :
      ( c3_1(X106)
      | c1_1(X106)
      | c2_1(X106)
      | ~ ndr1_0
      | hskp6
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f372,plain,
    ! [X107] :
      ( c0_1(X107)
      | c1_1(X107)
      | c2_1(X107)
      | ~ ndr1_0
      | ~ hskp3
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f373,plain,
    ! [X108] :
      ( c0_1(X108)
      | c1_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | ~ hskp14
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f375,plain,
    ! [X110] :
      ( c1_1(X110)
      | c2_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | ~ hskp21
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f376,plain,
    ! [X111] :
      ( c1_1(X111)
      | c2_1(X111)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | ~ hskp15
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f378,plain,
    ( ~ hskp30
    | hskp26
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f379,plain,
    ( hskp26
    | ~ hskp8
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f382,plain,
    ( ~ hskp8
    | hskp9
    | hskp7 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f383,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | c0_1(X104)
      | c2_1(X104)
      | ~ ndr1_0
      | c0_1(X105)
      | c1_1(X105)
      | c2_1(X105)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f370]) ).

fof(f385,plain,
    ! [X99,X100] :
      ( ~ c2_1(X99)
      | c1_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | c0_1(X100)
      | c1_1(X100)
      | ~ hskp30 ),
    inference(duplicate_literal_removal,[],[f367]) ).

fof(f386,plain,
    ! [X90,X88,X89] :
      ( ~ c1_1(X88)
      | c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | ~ c2_1(X89)
      | c3_1(X89)
      | c0_1(X89)
      | c0_1(X90)
      | c1_1(X90)
      | ~ c3_1(X90) ),
    inference(duplicate_literal_removal,[],[f358]) ).

fof(f387,plain,
    ! [X86,X87,X85] :
      ( ~ c1_1(X85)
      | c0_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | ~ c2_1(X86)
      | c3_1(X86)
      | c1_1(X86)
      | c0_1(X87)
      | c2_1(X87)
      | ~ c3_1(X87) ),
    inference(duplicate_literal_removal,[],[f357]) ).

fof(f388,plain,
    ! [X82,X81] :
      ( ~ c1_1(X81)
      | c3_1(X81)
      | c2_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | c0_1(X82)
      | c1_1(X82)
      | ~ hskp14 ),
    inference(duplicate_literal_removal,[],[f354]) ).

fof(f389,plain,
    ! [X80,X79] :
      ( ~ c1_1(X79)
      | c3_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | ~ c2_1(X80)
      | c0_1(X80)
      | c1_1(X80)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f353]) ).

fof(f390,plain,
    ! [X78,X77] :
      ( ~ c1_1(X77)
      | c3_1(X77)
      | c2_1(X77)
      | ~ ndr1_0
      | ~ c1_1(X78)
      | c0_1(X78)
      | c2_1(X78)
      | ~ hskp3 ),
    inference(duplicate_literal_removal,[],[f352]) ).

fof(f392,plain,
    ! [X72,X71] :
      ( ~ c1_1(X71)
      | ~ c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | ~ c2_1(X72)
      | c3_1(X72)
      | c1_1(X72)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f349]) ).

fof(f393,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ c1_1(X70)
      | c2_1(X70)
      | ~ c3_1(X70)
      | ~ hskp1 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f395,plain,
    ! [X60,X61] :
      ( ~ c0_1(X60)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c2_1(X61)
      | ~ c3_1(X61)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f341]) ).

fof(f396,plain,
    ! [X56,X55] :
      ( ~ c0_1(X55)
      | c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0
      | c3_1(X56)
      | c0_1(X56)
      | c2_1(X56)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f337]) ).

fof(f397,plain,
    ! [X54,X53] :
      ( ~ c0_1(X53)
      | c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c1_1(X54)
      | ~ c3_1(X54)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f336]) ).

fof(f398,plain,
    ! [X50,X51] :
      ( ~ c0_1(X50)
      | c1_1(X50)
      | c2_1(X50)
      | ~ ndr1_0
      | ~ c1_1(X51)
      | c3_1(X51)
      | c0_1(X51)
      | ~ hskp19 ),
    inference(duplicate_literal_removal,[],[f334]) ).

fof(f399,plain,
    ! [X48,X49] :
      ( ~ c0_1(X48)
      | c3_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ c3_1(X49)
      | ~ hskp4 ),
    inference(duplicate_literal_removal,[],[f333]) ).

fof(f400,plain,
    ! [X46,X47] :
      ( ~ c0_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c1_1(X47)
      | ~ c3_1(X47)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f401,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c3_1(X45)
      | c0_1(X45)
      | c2_1(X45)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f403,plain,
    ! [X38,X36,X37] :
      ( ~ c0_1(X36)
      | ~ c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | ~ c1_1(X37)
      | ~ c2_1(X37)
      | c0_1(X37)
      | ~ c2_1(X38)
      | c0_1(X38)
      | c1_1(X38) ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f404,plain,
    ! [X31,X32,X33] :
      ( ~ c0_1(X31)
      | ~ c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c1_1(X32)
      | c2_1(X32)
      | ~ c2_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33) ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f405,plain,
    ! [X28,X27] :
      ( ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | c2_1(X28)
      | ~ c3_1(X28)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f406,plain,
    ! [X26,X24,X25] :
      ( ~ c0_1(X24)
      | ~ c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X26)
      | c2_1(X26)
      | ~ c3_1(X26) ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f407,plain,
    ! [X21,X20] :
      ( ~ c0_1(X20)
      | ~ c1_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | c0_1(X21)
      | ~ c3_1(X21)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f408,plain,
    ! [X18,X19] :
      ( ~ c0_1(X18)
      | ~ c1_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | c2_1(X19)
      | ~ c3_1(X19)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f315]) ).

fof(f409,plain,
    ! [X16,X17] :
      ( ~ c0_1(X16)
      | ~ c1_1(X16)
      | c2_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ hskp4 ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f411,plain,
    ! [X10,X11,X12] :
      ( ~ c0_1(X10)
      | ~ c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | c3_1(X11)
      | c1_1(X11)
      | ~ c2_1(X12)
      | c1_1(X12)
      | ~ c3_1(X12) ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f412,plain,
    ! [X8,X9,X7] :
      ( ~ c0_1(X7)
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | ~ c2_1(X8)
      | c3_1(X8)
      | c0_1(X8)
      | ~ c2_1(X9)
      | c1_1(X9)
      | ~ c3_1(X9) ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f415,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | c2_1(X1)
      | ~ c1_1(X2)
      | c0_1(X2)
      | c2_1(X2) ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f417,definition,
    ( spl0_1
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f421,definition,
    ( spl0_2
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f425,definition,
    ( spl0_3
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f428,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f382,f425,f421,f417]) ).

fof(f434,definition,
    ( spl0_5
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f438,definition,
    ( spl0_6
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f447,definition,
    ( spl0_8
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f452,definition,
    ( spl0_9
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f456,definition,
    ( spl0_10
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f459,plain,
    ( spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f379,f456,f425,f452]) ).

fof(f461,definition,
    ( spl0_11
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f464,plain,
    ( ~ spl0_5
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f378,f461,f456,f434]) ).

fof(f475,definition,
    ( spl0_14
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f479,definition,
    ( spl0_15
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f483,definition,
    ( spl0_16
  <=> ! [X111] :
        ( c1_1(X111)
        | ~ c3_1(X111)
        | c2_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X111] :
        ( c2_1(X111)
        | ~ c3_1(X111)
        | c1_1(X111) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f485,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f376,f483,f479,f475,f452]) ).

fof(f487,definition,
    ( spl0_17
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f491,definition,
    ( spl0_18
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f494,plain,
    ( spl0_17
    | ~ spl0_18
    | ~ spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f375,f483,f479,f491,f487]) ).

fof(f496,definition,
    ( spl0_19
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_20
  <=> ! [X109] :
        ( c0_1(X109)
        | ~ c3_1(X109)
        | c2_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X109] :
        ( c2_1(X109)
        | ~ c3_1(X109)
        | c0_1(X109) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f504,definition,
    ( spl0_21
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f508,definition,
    ( spl0_22
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f512,definition,
    ( spl0_23
  <=> ! [X108] :
        ( c0_1(X108)
        | ~ c3_1(X108)
        | c1_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f513,plain,
    ( ! [X108] :
        ( c1_1(X108)
        | ~ c3_1(X108)
        | c0_1(X108) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f514,plain,
    ( spl0_21
    | ~ spl0_22
    | ~ spl0_15
    | spl0_23 ),
    inference(avatar_split_clause,[],[f373,f512,f479,f508,f504]) ).

fof(f516,definition,
    ( spl0_24
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f520,definition,
    ( spl0_25
  <=> ! [X107] :
        ( c0_1(X107)
        | c2_1(X107)
        | c1_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f521,plain,
    ( ! [X107] :
        ( c2_1(X107)
        | c0_1(X107)
        | c1_1(X107) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( spl0_24
    | ~ spl0_8
    | ~ spl0_15
    | spl0_25 ),
    inference(avatar_split_clause,[],[f372,f520,f479,f447,f516]) ).

fof(f524,definition,
    ( spl0_26
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f528,definition,
    ( spl0_27
  <=> ! [X106] :
        ( c3_1(X106)
        | c2_1(X106)
        | c1_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f529,plain,
    ( ! [X106] :
        ( c2_1(X106)
        | c3_1(X106)
        | c1_1(X106) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( spl0_21
    | spl0_26
    | ~ spl0_15
    | spl0_27 ),
    inference(avatar_split_clause,[],[f371,f528,f479,f524,f504]) ).

fof(f532,definition,
    ( spl0_28
  <=> ! [X104] :
        ( c3_1(X104)
        | c2_1(X104)
        | c0_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f533,plain,
    ( ! [X104] :
        ( c2_1(X104)
        | c3_1(X104)
        | c0_1(X104) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f534,plain,
    ( spl0_19
    | spl0_25
    | ~ spl0_15
    | spl0_28 ),
    inference(avatar_split_clause,[],[f383,f532,f479,f520,f496]) ).

fof(f536,definition,
    ( spl0_29
  <=> ! [X103] :
        ( c3_1(X103)
        | c1_1(X103)
        | c0_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f537,plain,
    ( ! [X103] :
        ( c1_1(X103)
        | c3_1(X103)
        | c0_1(X103) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f540,definition,
    ( spl0_30
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f545,definition,
    ( spl0_31
  <=> ! [X99] :
        ( ~ c2_1(X99)
        | ~ c3_1(X99)
        | c1_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f546,plain,
    ( ! [X99] :
        ( ~ c2_1(X99)
        | ~ c3_1(X99)
        | c1_1(X99) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( ~ spl0_11
    | spl0_29
    | ~ spl0_15
    | spl0_31 ),
    inference(avatar_split_clause,[],[f385,f545,f479,f536,f461]) ).

fof(f549,definition,
    ( spl0_32
  <=> ! [X98] :
        ( ~ c2_1(X98)
        | c1_1(X98)
        | c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f550,plain,
    ( ! [X98] :
        ( ~ c2_1(X98)
        | c1_1(X98)
        | c0_1(X98) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f554,definition,
    ( spl0_33
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f559,definition,
    ( spl0_34
  <=> ! [X95] :
        ( ~ c2_1(X95)
        | c1_1(X95)
        | c3_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f560,plain,
    ( ! [X95] :
        ( ~ c2_1(X95)
        | c1_1(X95)
        | c3_1(X95) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( ~ spl0_33
    | spl0_26
    | ~ spl0_15
    | spl0_34 ),
    inference(avatar_split_clause,[],[f363,f559,f479,f524,f554]) ).

fof(f563,definition,
    ( spl0_35
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f568,definition,
    ( spl0_36
  <=> ! [X93] :
        ( ~ c2_1(X93)
        | c0_1(X93)
        | c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f569,plain,
    ( ! [X93] :
        ( ~ c2_1(X93)
        | c0_1(X93)
        | c3_1(X93) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15
    | spl0_36 ),
    inference(avatar_split_clause,[],[f361,f568,f479,f438,f434]) ).

fof(f572,definition,
    ( spl0_37
  <=> ! [X92] :
        ( ~ c1_1(X92)
        | ~ c3_1(X92)
        | c2_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f573,plain,
    ( ! [X92] :
        ( c2_1(X92)
        | ~ c3_1(X92)
        | ~ c1_1(X92) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f572]) ).

fof(f574,plain,
    ( spl0_24
    | ~ spl0_14
    | ~ spl0_15
    | spl0_37 ),
    inference(avatar_split_clause,[],[f360,f572,f479,f475,f516]) ).

fof(f575,plain,
    ( spl0_9
    | ~ spl0_18
    | ~ spl0_15
    | spl0_37 ),
    inference(avatar_split_clause,[],[f359,f572,f479,f491,f452]) ).

fof(f576,plain,
    ( spl0_23
    | spl0_36
    | ~ spl0_15
    | spl0_37 ),
    inference(avatar_split_clause,[],[f386,f572,f479,f568,f512]) ).

fof(f578,definition,
    ( spl0_38
  <=> ! [X85] :
        ( ~ c1_1(X85)
        | c2_1(X85)
        | c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f579,plain,
    ( ! [X85] :
        ( c2_1(X85)
        | ~ c1_1(X85)
        | c0_1(X85) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f580,plain,
    ( spl0_20
    | spl0_34
    | ~ spl0_15
    | spl0_38 ),
    inference(avatar_split_clause,[],[f387,f578,f479,f559,f500]) ).

fof(f582,definition,
    ( spl0_39
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f586,definition,
    ( spl0_40
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f590,definition,
    ( spl0_41
  <=> ! [X84] :
        ( ~ c1_1(X84)
        | c2_1(X84)
        | c3_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f591,plain,
    ( ! [X84] :
        ( c2_1(X84)
        | ~ c1_1(X84)
        | c3_1(X84) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f592,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f356,f590,f479,f586,f582]) ).

fof(f593,plain,
    ( spl0_2
    | spl0_17
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f355,f590,f479,f487,f421]) ).

fof(f594,plain,
    ( ~ spl0_22
    | spl0_29
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f388,f590,f479,f536,f508]) ).

fof(f595,plain,
    ( spl0_35
    | spl0_32
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f389,f590,f479,f549,f563]) ).

fof(f596,plain,
    ( ~ spl0_8
    | spl0_38
    | ~ spl0_15
    | spl0_41 ),
    inference(avatar_split_clause,[],[f390,f590,f479,f578,f447]) ).

fof(f598,definition,
    ( spl0_42
  <=> ! [X74] :
        ( ~ c1_1(X74)
        | c0_1(X74)
        | c3_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f599,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c0_1(X74)
        | c3_1(X74) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f602,definition,
    ( spl0_43
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | ~ c3_1(X73)
        | ~ c2_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f603,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | ~ c3_1(X73)
        | ~ c1_1(X73) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f605,plain,
    ( spl0_21
    | spl0_34
    | ~ spl0_15
    | spl0_43 ),
    inference(avatar_split_clause,[],[f392,f602,f479,f559,f504]) ).

fof(f606,plain,
    ( ~ spl0_33
    | spl0_37
    | ~ spl0_15
    | spl0_43 ),
    inference(avatar_split_clause,[],[f393,f602,f479,f572,f554]) ).

fof(f608,definition,
    ( spl0_44
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f612,definition,
    ( spl0_45
  <=> ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | ~ c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f613,plain,
    ( ! [X68] :
        ( ~ c2_1(X68)
        | c0_1(X68)
        | ~ c1_1(X68) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f614,plain,
    ( spl0_44
    | ~ spl0_6
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f347,f612,f479,f438,f608]) ).

fof(f615,plain,
    ( ~ spl0_18
    | ~ spl0_11
    | ~ spl0_15
    | spl0_45 ),
    inference(avatar_split_clause,[],[f346,f612,f479,f461,f491]) ).

fof(f618,definition,
    ( spl0_46
  <=> ! [X64] :
        ( ~ c0_1(X64)
        | ~ c3_1(X64)
        | c2_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f619,plain,
    ( ! [X64] :
        ( c2_1(X64)
        | ~ c3_1(X64)
        | ~ c0_1(X64) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f620,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f344,f618,f479,f475]) ).

fof(f622,definition,
    ( spl0_47
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ spl0_18
    | spl0_26
    | ~ spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f342,f618,f479,f524,f491]) ).

fof(f627,plain,
    ( spl0_35
    | spl0_37
    | ~ spl0_15
    | spl0_46 ),
    inference(avatar_split_clause,[],[f395,f618,f479,f572,f563]) ).

fof(f629,definition,
    ( spl0_48
  <=> ! [X59] :
        ( ~ c0_1(X59)
        | ~ c3_1(X59)
        | c1_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f630,plain,
    ( ! [X59] :
        ( c1_1(X59)
        | ~ c3_1(X59)
        | ~ c0_1(X59) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f631,plain,
    ( spl0_19
    | spl0_1
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f340,f629,f479,f417,f496]) ).

fof(f632,plain,
    ( spl0_2
    | ~ spl0_33
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f339,f629,f479,f554,f421]) ).

fof(f634,definition,
    ( spl0_49
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f637,plain,
    ( spl0_49
    | ~ spl0_18
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f338,f629,f479,f491,f634]) ).

fof(f638,plain,
    ( spl0_1
    | spl0_28
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f396,f629,f479,f532,f417]) ).

fof(f639,plain,
    ( spl0_19
    | spl0_31
    | ~ spl0_15
    | spl0_48 ),
    inference(avatar_split_clause,[],[f397,f629,f479,f545,f496]) ).

fof(f641,definition,
    ( spl0_50
  <=> ! [X52] :
        ( ~ c0_1(X52)
        | c2_1(X52)
        | c1_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f642,plain,
    ( ! [X52] :
        ( c2_1(X52)
        | ~ c0_1(X52)
        | c1_1(X52) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f643,plain,
    ( spl0_9
    | spl0_39
    | ~ spl0_15
    | spl0_50 ),
    inference(avatar_split_clause,[],[f335,f641,f479,f582,f452]) ).

fof(f644,plain,
    ( ~ spl0_5
    | spl0_42
    | ~ spl0_15
    | spl0_50 ),
    inference(avatar_split_clause,[],[f398,f641,f479,f598,f434]) ).

fof(f646,definition,
    ( spl0_51
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f650,definition,
    ( spl0_52
  <=> ! [X48] :
        ( ~ c0_1(X48)
        | c1_1(X48)
        | c3_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f651,plain,
    ( ! [X48] :
        ( c1_1(X48)
        | ~ c0_1(X48)
        | c3_1(X48) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f652,plain,
    ( ~ spl0_51
    | spl0_43
    | ~ spl0_15
    | spl0_52 ),
    inference(avatar_split_clause,[],[f399,f650,f479,f602,f646]) ).

fof(f654,definition,
    ( spl0_53
  <=> ! [X46] :
        ( ~ c0_1(X46)
        | ~ c3_1(X46)
        | ~ c2_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f655,plain,
    ( ! [X46] :
        ( ~ c2_1(X46)
        | ~ c3_1(X46)
        | ~ c0_1(X46) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f656,plain,
    ( spl0_39
    | spl0_23
    | ~ spl0_15
    | spl0_53 ),
    inference(avatar_split_clause,[],[f400,f654,f479,f512,f582]) ).

fof(f657,plain,
    ( spl0_35
    | spl0_28
    | ~ spl0_15
    | spl0_53 ),
    inference(avatar_split_clause,[],[f401,f654,f479,f532,f563]) ).

fof(f659,definition,
    ( spl0_54
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c1_1(X43)
        | ~ c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f660,plain,
    ( ! [X43] :
        ( ~ c2_1(X43)
        | c1_1(X43)
        | ~ c0_1(X43) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f663,definition,
    ( spl0_55
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_55
    | spl0_40
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f329,f659,f479,f586,f663]) ).

fof(f668,definition,
    ( spl0_56
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f671,plain,
    ( spl0_17
    | ~ spl0_56
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f328,f659,f479,f668,f487]) ).

fof(f673,plain,
    ( spl0_32
    | spl0_45
    | ~ spl0_15
    | spl0_54 ),
    inference(avatar_split_clause,[],[f403,f659,f479,f612,f549]) ).

fof(f675,definition,
    ( spl0_57
  <=> ! [X35] :
        ( ~ c0_1(X35)
        | c3_1(X35)
        | ~ c2_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f676,plain,
    ( ! [X35] :
        ( ~ c2_1(X35)
        | c3_1(X35)
        | ~ c0_1(X35) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( ~ spl0_33
    | spl0_55
    | ~ spl0_15
    | spl0_57 ),
    inference(avatar_split_clause,[],[f324,f675,f479,f663,f554]) ).

fof(f679,plain,
    ( spl0_31
    | spl0_50
    | ~ spl0_15
    | spl0_57 ),
    inference(avatar_split_clause,[],[f404,f675,f479,f641,f545]) ).

fof(f681,definition,
    ( spl0_58
  <=> ! [X30] :
        ( ~ c0_1(X30)
        | ~ c3_1(X30)
        | ~ c1_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f682,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | ~ c3_1(X30)
        | ~ c0_1(X30) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f683,plain,
    ( spl0_39
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f322,f681,f479,f582]) ).

fof(f684,plain,
    ( spl0_9
    | spl0_26
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f321,f681,f479,f524,f452]) ).

fof(f685,plain,
    ( spl0_30
    | spl0_37
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f405,f681,f479,f572,f540]) ).

fof(f686,plain,
    ( spl0_16
    | spl0_57
    | ~ spl0_15
    | spl0_58 ),
    inference(avatar_split_clause,[],[f406,f681,f479,f675,f483]) ).

fof(f688,definition,
    ( spl0_59
  <=> ! [X23] :
        ( ~ c0_1(X23)
        | c2_1(X23)
        | ~ c1_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f689,plain,
    ( ! [X23] :
        ( c2_1(X23)
        | ~ c0_1(X23)
        | ~ c1_1(X23) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f691,plain,
    ( spl0_1
    | spl0_26
    | ~ spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f317,f688,f479,f524,f417]) ).

fof(f693,definition,
    ( spl0_60
  <=> ! [X21] :
        ( ~ c1_1(X21)
        | ~ c3_1(X21)
        | c0_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f694,plain,
    ( ! [X21] :
        ( ~ c1_1(X21)
        | ~ c3_1(X21)
        | c0_1(X21) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( ~ spl0_56
    | spl0_60
    | ~ spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f407,f688,f479,f693,f668]) ).

fof(f696,plain,
    ( ~ spl0_6
    | spl0_46
    | ~ spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f408,f688,f479,f618,f438]) ).

fof(f697,plain,
    ( ~ spl0_51
    | spl0_48
    | ~ spl0_15
    | spl0_59 ),
    inference(avatar_split_clause,[],[f409,f688,f479,f629,f646]) ).

fof(f699,definition,
    ( spl0_61
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15)
        | ~ c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f700,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f701,plain,
    ( spl0_47
    | ~ spl0_8
    | ~ spl0_15
    | spl0_61 ),
    inference(avatar_split_clause,[],[f313,f699,f479,f447,f622]) ).

fof(f704,definition,
    ( spl0_62
  <=> ! [X10] :
        ( ~ c0_1(X10)
        | ~ c2_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f705,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | ~ c0_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f706,plain,
    ( spl0_31
    | spl0_34
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f411,f704,f479,f559,f545]) ).

fof(f707,plain,
    ( spl0_31
    | spl0_36
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f412,f704,f479,f568,f545]) ).

fof(f710,plain,
    ( spl0_38
    | spl0_59
    | ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f415,f704,f479,f688,f578]) ).

fof(f728,definition,
    ( spl0_66
  <=> c3_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f731,plain,
    ( spl0_66
    | spl0_11 ),
    inference(avatar_split_clause,[],[f303,f461,f728]) ).

fof(f733,definition,
    ( spl0_67
  <=> c1_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ c1_1(a2450)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f736,plain,
    ( ~ spl0_67
    | spl0_11 ),
    inference(avatar_split_clause,[],[f302,f461,f733]) ).

fof(f738,definition,
    ( spl0_68
  <=> c0_1(a2450) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ spl0_68
    | spl0_11 ),
    inference(avatar_split_clause,[],[f301,f461,f738]) ).

fof(f744,definition,
    ( spl0_69
  <=> c3_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f747,plain,
    ( spl0_69
    | spl0_56 ),
    inference(avatar_split_clause,[],[f299,f668,f744]) ).

fof(f749,definition,
    ( spl0_70
  <=> c2_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ c2_1(a2409)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f752,plain,
    ( ~ spl0_70
    | spl0_56 ),
    inference(avatar_split_clause,[],[f298,f668,f749]) ).

fof(f754,definition,
    ( spl0_71
  <=> c0_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f757,plain,
    ( ~ spl0_71
    | spl0_56 ),
    inference(avatar_split_clause,[],[f297,f668,f754]) ).

fof(f760,definition,
    ( spl0_72
  <=> c3_1(a2406) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f763,plain,
    ( spl0_72
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f94,f622,f760]) ).

fof(f765,definition,
    ( spl0_73
  <=> c2_1(a2406) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ c2_1(a2406)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f768,plain,
    ( ~ spl0_73
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f295,f622,f765]) ).

fof(f770,definition,
    ( spl0_74
  <=> c1_1(a2406) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ spl0_74
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f294,f622,f770]) ).

fof(f792,definition,
    ( spl0_78
  <=> c3_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ spl0_78
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f102,f456,f792]) ).

fof(f797,definition,
    ( spl0_79
  <=> c1_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f799,plain,
    ( ~ c1_1(a2484)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( ~ spl0_79
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f289,f456,f797]) ).

fof(f802,definition,
    ( spl0_80
  <=> c0_1(a2484) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ spl0_80
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f288,f456,f802]) ).

fof(f824,definition,
    ( spl0_84
  <=> c3_1(a2468) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ spl0_84
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f110,f516,f824]) ).

fof(f829,definition,
    ( spl0_85
  <=> c0_1(a2468) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f832,plain,
    ( spl0_85
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f283,f516,f829]) ).

fof(f834,definition,
    ( spl0_86
  <=> c1_1(a2468) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f836,plain,
    ( ~ c1_1(a2468)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f837,plain,
    ( ~ spl0_86
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f282,f516,f834]) ).

fof(f840,definition,
    ( spl0_87
  <=> c0_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f843,plain,
    ( spl0_87
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f281,f504,f840]) ).

fof(f845,definition,
    ( spl0_88
  <=> c3_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f848,plain,
    ( spl0_88
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f115,f504,f845]) ).

fof(f850,definition,
    ( spl0_89
  <=> c2_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ c2_1(a2455)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f853,plain,
    ( ~ spl0_89
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f280,f504,f850]) ).

fof(f856,definition,
    ( spl0_90
  <=> c2_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f858,plain,
    ( c2_1(a2453)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f859,plain,
    ( spl0_90
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f279,f608,f856]) ).

fof(f861,definition,
    ( spl0_91
  <=> c1_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f863,plain,
    ( c1_1(a2453)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f864,plain,
    ( spl0_91
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f278,f608,f861]) ).

fof(f866,definition,
    ( spl0_92
  <=> c0_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f869,plain,
    ( spl0_92
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f277,f608,f866]) ).

fof(f872,definition,
    ( spl0_93
  <=> c1_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f874,plain,
    ( c1_1(a2437)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f875,plain,
    ( spl0_93
    | spl0_18 ),
    inference(avatar_split_clause,[],[f276,f491,f872]) ).

fof(f877,definition,
    ( spl0_94
  <=> c2_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ c2_1(a2437)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f880,plain,
    ( ~ spl0_94
    | spl0_18 ),
    inference(avatar_split_clause,[],[f275,f491,f877]) ).

fof(f882,definition,
    ( spl0_95
  <=> c0_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f885,plain,
    ( ~ spl0_95
    | spl0_18 ),
    inference(avatar_split_clause,[],[f274,f491,f882]) ).

fof(f888,definition,
    ( spl0_96
  <=> c2_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f890,plain,
    ( c2_1(a2435)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f891,plain,
    ( spl0_96
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f272,f496,f888]) ).

fof(f893,definition,
    ( spl0_97
  <=> c0_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f896,plain,
    ( spl0_97
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f271,f496,f893]) ).

fof(f898,definition,
    ( spl0_98
  <=> c3_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f901,plain,
    ( spl0_98
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f128,f496,f898]) ).

fof(f904,definition,
    ( spl0_99
  <=> c0_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f907,plain,
    ( spl0_99
    | spl0_5 ),
    inference(avatar_split_clause,[],[f270,f434,f904]) ).

fof(f909,definition,
    ( spl0_100
  <=> c3_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f912,plain,
    ( spl0_100
    | spl0_5 ),
    inference(avatar_split_clause,[],[f269,f434,f909]) ).

fof(f914,definition,
    ( spl0_101
  <=> c1_1(a2432) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ c1_1(a2432)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f917,plain,
    ( ~ spl0_101
    | spl0_5 ),
    inference(avatar_split_clause,[],[f268,f434,f914]) ).

fof(f936,definition,
    ( spl0_105
  <=> c1_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f939,plain,
    ( spl0_105
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f262,f634,f936]) ).

fof(f941,definition,
    ( spl0_106
  <=> c3_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f944,plain,
    ( spl0_106
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f139,f634,f941]) ).

fof(f946,definition,
    ( spl0_107
  <=> c2_1(a2427) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ c2_1(a2427)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f949,plain,
    ( ~ spl0_107
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f261,f634,f946]) ).

fof(f952,definition,
    ( spl0_108
  <=> c3_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f955,plain,
    ( ~ spl0_108
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f142,f586,f952]) ).

fof(f957,definition,
    ( spl0_109
  <=> c2_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f959,plain,
    ( c2_1(a2425)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f960,plain,
    ( spl0_109
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f260,f586,f957]) ).

fof(f962,definition,
    ( spl0_110
  <=> c0_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f965,plain,
    ( ~ spl0_110
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f259,f586,f962]) ).

fof(f968,definition,
    ( spl0_111
  <=> c2_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f970,plain,
    ( c2_1(a2422)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f971,plain,
    ( spl0_111
    | spl0_14 ),
    inference(avatar_split_clause,[],[f258,f475,f968]) ).

fof(f973,definition,
    ( spl0_112
  <=> c3_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f976,plain,
    ( spl0_112
    | spl0_14 ),
    inference(avatar_split_clause,[],[f257,f475,f973]) ).

fof(f978,definition,
    ( spl0_113
  <=> c1_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f980,plain,
    ( ~ c1_1(a2422)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f981,plain,
    ( ~ spl0_113
    | spl0_14 ),
    inference(avatar_split_clause,[],[f256,f475,f978]) ).

fof(f984,definition,
    ( spl0_114
  <=> c3_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f987,plain,
    ( ~ spl0_114
    | spl0_22 ),
    inference(avatar_split_clause,[],[f254,f508,f984]) ).

fof(f989,definition,
    ( spl0_115
  <=> c2_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ c2_1(a2420)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f992,plain,
    ( ~ spl0_115
    | spl0_22 ),
    inference(avatar_split_clause,[],[f253,f508,f989]) ).

fof(f994,definition,
    ( spl0_116
  <=> c1_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f996,plain,
    ( ~ c1_1(a2420)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f997,plain,
    ( ~ spl0_116
    | spl0_22 ),
    inference(avatar_split_clause,[],[f252,f508,f994]) ).

fof(f1000,definition,
    ( spl0_117
  <=> c0_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1003,plain,
    ( spl0_117
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f250,f663,f1000]) ).

fof(f1005,definition,
    ( spl0_118
  <=> c2_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ c2_1(a2418)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1008,plain,
    ( ~ spl0_118
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f249,f663,f1005]) ).

fof(f1010,definition,
    ( spl0_119
  <=> c1_1(a2418) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1013,plain,
    ( ~ spl0_119
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f248,f663,f1010]) ).

fof(f1016,definition,
    ( spl0_120
  <=> c1_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1018,plain,
    ( c1_1(a2417)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f1019,plain,
    ( spl0_120
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f247,f582,f1016]) ).

fof(f1021,definition,
    ( spl0_121
  <=> c0_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1024,plain,
    ( spl0_121
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f246,f582,f1021]) ).

fof(f1026,definition,
    ( spl0_122
  <=> c3_1(a2417) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1029,plain,
    ( spl0_122
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f160,f582,f1026]) ).

fof(f1032,definition,
    ( spl0_123
  <=> c2_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1034,plain,
    ( c2_1(a2416)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1035,plain,
    ( spl0_123
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f245,f452,f1032]) ).

fof(f1037,definition,
    ( spl0_124
  <=> c1_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1040,plain,
    ( spl0_124
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f244,f452,f1037]) ).

fof(f1042,definition,
    ( spl0_125
  <=> c3_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1045,plain,
    ( spl0_125
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f164,f452,f1042]) ).

fof(f1048,definition,
    ( spl0_126
  <=> c3_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1051,plain,
    ( ~ spl0_126
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f166,f540,f1048]) ).

fof(f1053,definition,
    ( spl0_127
  <=> c1_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1055,plain,
    ( c1_1(a2414)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f1056,plain,
    ( spl0_127
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f243,f540,f1053]) ).

fof(f1058,definition,
    ( spl0_128
  <=> c0_1(a2414) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1061,plain,
    ( ~ spl0_128
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f242,f540,f1058]) ).

fof(f1064,definition,
    ( spl0_129
  <=> c1_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1066,plain,
    ( c1_1(a2413)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f1064]) ).

fof(f1067,plain,
    ( spl0_129
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f241,f421,f1064]) ).

fof(f1069,definition,
    ( spl0_130
  <=> c0_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1072,plain,
    ( spl0_130
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f240,f421,f1069]) ).

fof(f1074,definition,
    ( spl0_131
  <=> c2_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1076,plain,
    ( ~ c2_1(a2413)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1077,plain,
    ( ~ spl0_131
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f239,f421,f1074]) ).

fof(f1078,plain,
    ( spl0_15
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f173,f421,f479]) ).

fof(f1080,definition,
    ( spl0_132
  <=> c2_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1082,plain,
    ( c2_1(a2412)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1083,plain,
    ( spl0_132
    | spl0_3 ),
    inference(avatar_split_clause,[],[f238,f425,f1080]) ).

fof(f1085,definition,
    ( spl0_133
  <=> c0_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1088,plain,
    ( spl0_133
    | spl0_3 ),
    inference(avatar_split_clause,[],[f237,f425,f1085]) ).

fof(f1090,definition,
    ( spl0_134
  <=> c1_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1092,plain,
    ( ~ c1_1(a2412)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1093,plain,
    ( ~ spl0_134
    | spl0_3 ),
    inference(avatar_split_clause,[],[f236,f425,f1090]) ).

fof(f1094,plain,
    ( spl0_15
    | spl0_3 ),
    inference(avatar_split_clause,[],[f235,f425,f479]) ).

fof(f1096,definition,
    ( spl0_135
  <=> c3_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1099,plain,
    ( ~ spl0_135
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f178,f417,f1096]) ).

fof(f1101,definition,
    ( spl0_136
  <=> c1_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1104,plain,
    ( spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f234,f417,f1101]) ).

fof(f1106,definition,
    ( spl0_137
  <=> c2_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ c2_1(a2411)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1109,plain,
    ( ~ spl0_137
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f233,f417,f1106]) ).

fof(f1110,plain,
    ( spl0_15
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f181,f417,f479]) ).

fof(f1112,definition,
    ( spl0_138
  <=> c2_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1114,plain,
    ( c2_1(a2410)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f1115,plain,
    ( spl0_138
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f232,f524,f1112]) ).

fof(f1117,definition,
    ( spl0_139
  <=> c1_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1119,plain,
    ( ~ c1_1(a2410)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f1120,plain,
    ( ~ spl0_139
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f231,f524,f1117]) ).

fof(f1122,definition,
    ( spl0_140
  <=> c0_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1125,plain,
    ( ~ spl0_140
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f230,f524,f1122]) ).

fof(f1128,definition,
    ( spl0_141
  <=> c2_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1130,plain,
    ( c2_1(a2408)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1131,plain,
    ( spl0_141
    | spl0_6 ),
    inference(avatar_split_clause,[],[f229,f438,f1128]) ).

fof(f1133,definition,
    ( spl0_142
  <=> c3_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1136,plain,
    ( spl0_142
    | spl0_6 ),
    inference(avatar_split_clause,[],[f228,f438,f1133]) ).

fof(f1138,definition,
    ( spl0_143
  <=> c0_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1141,plain,
    ( ~ spl0_143
    | spl0_6 ),
    inference(avatar_split_clause,[],[f227,f438,f1138]) ).

fof(f1144,definition,
    ( spl0_144
  <=> c2_1(a2407) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1146,plain,
    ( c2_1(a2407)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f1144]) ).

fof(f1147,plain,
    ( spl0_144
    | spl0_51 ),
    inference(avatar_split_clause,[],[f225,f646,f1144]) ).

fof(f1149,definition,
    ( spl0_145
  <=> c1_1(a2407) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1152,plain,
    ( spl0_145
    | spl0_51 ),
    inference(avatar_split_clause,[],[f224,f646,f1149]) ).

fof(f1154,definition,
    ( spl0_146
  <=> c0_1(a2407) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1157,plain,
    ( ~ spl0_146
    | spl0_51 ),
    inference(avatar_split_clause,[],[f223,f646,f1154]) ).

fof(f1160,definition,
    ( spl0_147
  <=> c3_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1163,plain,
    ( ~ spl0_147
    | spl0_8 ),
    inference(avatar_split_clause,[],[f221,f447,f1160]) ).

fof(f1165,definition,
    ( spl0_148
  <=> c2_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1167,plain,
    ( ~ c2_1(a2405)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f1168,plain,
    ( ~ spl0_148
    | spl0_8 ),
    inference(avatar_split_clause,[],[f220,f447,f1165]) ).

fof(f1170,definition,
    ( spl0_149
  <=> c0_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1173,plain,
    ( ~ spl0_149
    | spl0_8 ),
    inference(avatar_split_clause,[],[f219,f447,f1170]) ).

fof(f1176,definition,
    ( spl0_150
  <=> c3_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1179,plain,
    ( ~ spl0_150
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f198,f563,f1176]) ).

fof(f1181,definition,
    ( spl0_151
  <=> c2_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1183,plain,
    ( c2_1(a2404)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1184,plain,
    ( spl0_151
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f217,f563,f1181]) ).

fof(f1186,definition,
    ( spl0_152
  <=> c1_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1188,plain,
    ( c1_1(a2404)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1186]) ).

fof(f1189,plain,
    ( spl0_152
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f216,f563,f1186]) ).

fof(f1192,definition,
    ( spl0_153
  <=> c3_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1195,plain,
    ( ~ spl0_153
    | spl0_33 ),
    inference(avatar_split_clause,[],[f215,f554,f1192]) ).

fof(f1197,definition,
    ( spl0_154
  <=> c2_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1199,plain,
    ( c2_1(a2403)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1200,plain,
    ( spl0_154
    | spl0_33 ),
    inference(avatar_split_clause,[],[f214,f554,f1197]) ).

fof(f1202,definition,
    ( spl0_155
  <=> c1_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1204,plain,
    ( ~ c1_1(a2403)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1205,plain,
    ( ~ spl0_155
    | spl0_33 ),
    inference(avatar_split_clause,[],[f213,f554,f1202]) ).

fof(f1208,definition,
    ( spl0_156
  <=> c1_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1210,plain,
    ( c1_1(a2402)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1208]) ).

fof(f1211,plain,
    ( spl0_156
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f211,f487,f1208]) ).

fof(f1213,definition,
    ( spl0_157
  <=> c3_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1216,plain,
    ( spl0_157
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f207,f487,f1213]) ).

fof(f1218,definition,
    ( spl0_158
  <=> c0_1(a2402) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1221,plain,
    ( ~ spl0_158
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f210,f487,f1218]) ).

fof(f1244,plain,
    ( ~ c3_1(a2406)
    | c1_1(a2406)
    | ~ spl0_16
    | spl0_73 ),
    inference(resolution,[],[f484,f767]) ).

fof(f1253,definition,
    ( spl0_160
  <=> c3_1(a2453) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1258,definition,
    ( spl0_161
  <=> c3_1(a2437) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1268,definition,
    ( spl0_163
  <=> c3_1(a2412) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1273,definition,
    ( spl0_164
  <=> c3_1(a2410) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1299,plain,
    ( ~ c3_1(a2437)
    | c0_1(a2437)
    | ~ spl0_20
    | spl0_94 ),
    inference(resolution,[],[f501,f879]) ).

fof(f1327,plain,
    ( ~ c3_1(a2450)
    | c0_1(a2450)
    | ~ spl0_23
    | spl0_67 ),
    inference(resolution,[],[f513,f735]) ).

fof(f1331,plain,
    ( c0_1(a2405)
    | c1_1(a2405)
    | ~ spl0_25
    | spl0_148 ),
    inference(resolution,[],[f521,f1167]) ).

fof(f1340,plain,
    ( c0_1(a2420)
    | c1_1(a2420)
    | ~ spl0_25
    | spl0_115 ),
    inference(resolution,[],[f521,f991]) ).

fof(f1351,plain,
    ( c0_1(a2409)
    | c1_1(a2409)
    | ~ spl0_25
    | spl0_70 ),
    inference(resolution,[],[f521,f751]) ).

fof(f1355,definition,
    ( spl0_166
  <=> c1_1(a2409) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1356,plain,
    ( ~ c1_1(a2409)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1355]) ).

fof(f1358,plain,
    ( spl0_166
    | spl0_71
    | ~ spl0_25
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1351,f749,f520,f754,f1355]) ).

fof(f1365,definition,
    ( spl0_168
  <=> c1_1(a2455) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1366,plain,
    ( ~ c1_1(a2455)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1367,plain,
    ( c1_1(a2455)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1372,definition,
    ( spl0_169
  <=> c1_1(a2435) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1373,plain,
    ( ~ c1_1(a2435)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f1374,plain,
    ( c1_1(a2435)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1372]) ).

fof(f1387,definition,
    ( spl0_172
  <=> c1_1(a2425) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1392,definition,
    ( spl0_173
  <=> c0_1(a2422) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1397,definition,
    ( spl0_174
  <=> c0_1(a2420) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1403,definition,
    ( spl0_175
  <=> c0_1(a2416) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1409,definition,
    ( spl0_176
  <=> c0_1(a2411) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1415,definition,
    ( spl0_177
  <=> c1_1(a2408) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1416,plain,
    ( ~ c1_1(a2408)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1417,plain,
    ( c1_1(a2408)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1421,definition,
    ( spl0_178
  <=> c1_1(a2405) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1423,plain,
    ( c1_1(a2405)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f1424,plain,
    ( spl0_178
    | spl0_149
    | ~ spl0_25
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1331,f1165,f520,f1170,f1421]) ).

fof(f1426,definition,
    ( spl0_179
  <=> c0_1(a2404) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1431,definition,
    ( spl0_180
  <=> c0_1(a2403) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1435,plain,
    ( ~ c3_1(a2409)
    | c0_1(a2409)
    | ~ spl0_23
    | spl0_166 ),
    inference(resolution,[],[f1356,f513]) ).

fof(f1453,plain,
    ( c3_1(a2420)
    | c1_1(a2420)
    | ~ spl0_27
    | spl0_115 ),
    inference(resolution,[],[f529,f991]) ).

fof(f1482,plain,
    ( spl0_116
    | spl0_114
    | ~ spl0_27
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1453,f989,f528,f984,f994]) ).

fof(f1497,plain,
    ( c3_1(a2405)
    | c0_1(a2405)
    | ~ spl0_28
    | spl0_148 ),
    inference(resolution,[],[f533,f1167]) ).

fof(f1501,plain,
    ( c3_1(a2411)
    | c0_1(a2411)
    | ~ spl0_28
    | spl0_137 ),
    inference(resolution,[],[f533,f1108]) ).

fof(f1506,plain,
    ( c3_1(a2420)
    | c0_1(a2420)
    | ~ spl0_28
    | spl0_115 ),
    inference(resolution,[],[f533,f991]) ).

fof(f1511,plain,
    ( c3_1(a2437)
    | c0_1(a2437)
    | ~ spl0_28
    | spl0_94 ),
    inference(resolution,[],[f533,f879]) ).

fof(f1522,plain,
    ( spl0_95
    | spl0_161
    | ~ spl0_28
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1511,f877,f532,f1258,f882]) ).

fof(f1527,plain,
    ( spl0_174
    | spl0_114
    | ~ spl0_28
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1506,f989,f532,f984,f1397]) ).

fof(f1531,plain,
    ( spl0_176
    | spl0_135
    | ~ spl0_28
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1501,f1106,f532,f1096,f1409]) ).

fof(f1535,plain,
    ( spl0_149
    | spl0_147
    | ~ spl0_28
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1497,f1165,f532,f1160,f1170]) ).

fof(f1539,plain,
    ( c3_1(a2403)
    | c0_1(a2403)
    | ~ spl0_29
    | spl0_155 ),
    inference(resolution,[],[f537,f1204]) ).

fof(f1592,plain,
    ( spl0_180
    | spl0_153
    | ~ spl0_29
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1539,f1202,f536,f1192,f1431]) ).

fof(f1642,definition,
    ( spl0_182
  <=> c3_1(a2413) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1646,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_36
    | ~ spl0_41 ),
    inference(resolution,[],[f591,f569]) ).

fof(f1656,plain,
    ( ~ c1_1(a2413)
    | c3_1(a2413)
    | ~ spl0_41
    | spl0_131 ),
    inference(resolution,[],[f591,f1076]) ).

fof(f1662,plain,
    ( ~ c1_1(a2437)
    | c3_1(a2437)
    | ~ spl0_41
    | spl0_94 ),
    inference(resolution,[],[f591,f879]) ).

fof(f1670,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_36
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1646]) ).

fof(f1677,plain,
    ( spl0_42
    | ~ spl0_36
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1670,f590,f568,f598]) ).

fof(f1678,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_36
    | ~ spl0_38 ),
    inference(resolution,[],[f579,f569]) ).

fof(f1694,plain,
    ( ~ c1_1(a2437)
    | c0_1(a2437)
    | ~ spl0_38
    | spl0_94 ),
    inference(resolution,[],[f579,f879]) ).

fof(f1699,plain,
    ( ~ c1_1(a2409)
    | c0_1(a2409)
    | ~ spl0_38
    | spl0_70 ),
    inference(resolution,[],[f579,f751]) ).

fof(f1702,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_36
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f1678]) ).

fof(f1708,plain,
    ( spl0_42
    | ~ spl0_36
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1702,f578,f568,f598]) ).

fof(f1709,plain,
    ( spl0_182
    | ~ spl0_129
    | ~ spl0_41
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1656,f1074,f590,f1064,f1642]) ).

fof(f1722,plain,
    ( c1_1(a2412)
    | c3_1(a2412)
    | ~ spl0_34
    | ~ spl0_132 ),
    inference(resolution,[],[f1082,f560]) ).

fof(f1725,plain,
    ( c1_1(a2410)
    | c3_1(a2410)
    | ~ spl0_34
    | ~ spl0_138 ),
    inference(resolution,[],[f1114,f560]) ).

fof(f1732,plain,
    ( ~ c3_1(a2410)
    | c1_1(a2410)
    | ~ spl0_31
    | ~ spl0_138 ),
    inference(resolution,[],[f546,f1114]) ).

fof(f1748,plain,
    ( ~ c1_1(a2411)
    | c3_1(a2411)
    | ~ spl0_41
    | spl0_137 ),
    inference(resolution,[],[f591,f1108]) ).

fof(f1769,plain,
    ( c0_1(a2437)
    | c3_1(a2437)
    | ~ spl0_42
    | ~ spl0_93 ),
    inference(resolution,[],[f599,f874]) ).

fof(f1775,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(resolution,[],[f603,f573]) ).

fof(f1785,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1775]) ).

fof(f1791,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(resolution,[],[f613,f573]) ).

fof(f1792,plain,
    ( c0_1(a2407)
    | ~ c1_1(a2407)
    | ~ spl0_45
    | ~ spl0_144 ),
    inference(resolution,[],[f613,f1146]) ).

fof(f1796,plain,
    ( c0_1(a2416)
    | ~ c1_1(a2416)
    | ~ spl0_45
    | ~ spl0_123 ),
    inference(resolution,[],[f613,f1034]) ).

fof(f1801,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1791]) ).

fof(f1809,plain,
    ( spl0_60
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1801,f612,f572,f693]) ).

fof(f1817,plain,
    ( ~ c3_1(a2413)
    | ~ c0_1(a2413)
    | ~ spl0_46
    | spl0_131 ),
    inference(resolution,[],[f619,f1076]) ).

fof(f1823,plain,
    ( ~ c3_1(a2455)
    | ~ c0_1(a2455)
    | ~ spl0_46
    | spl0_89 ),
    inference(resolution,[],[f619,f852]) ).

fof(f1829,plain,
    ( ~ spl0_130
    | ~ spl0_182
    | ~ spl0_46
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1817,f1074,f618,f1642,f1069]) ).

fof(f1839,plain,
    ( spl0_68
    | ~ spl0_66
    | ~ spl0_23
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1327,f733,f512,f728,f738]) ).

fof(f1840,plain,
    ( spl0_71
    | ~ spl0_69
    | ~ spl0_23
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1435,f1355,f512,f744,f754]) ).

fof(f1853,plain,
    ( ~ spl0_145
    | spl0_146
    | ~ spl0_45
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1792,f1144,f612,f1154,f1149]) ).

fof(f1855,plain,
    ( ~ spl0_124
    | spl0_175
    | ~ spl0_45
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1796,f1032,f612,f1403,f1037]) ).

fof(f1866,plain,
    ( spl0_135
    | ~ spl0_136
    | ~ spl0_41
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1748,f1106,f590,f1101,f1096]) ).

fof(f1889,plain,
    ( c1_1(a2425)
    | c3_1(a2425)
    | ~ spl0_34
    | ~ spl0_109 ),
    inference(resolution,[],[f959,f560]) ).

fof(f1905,plain,
    ( c1_1(a2403)
    | c3_1(a2403)
    | ~ spl0_34
    | ~ spl0_154 ),
    inference(resolution,[],[f1199,f560]) ).

fof(f1911,plain,
    ( ~ c3_1(a2420)
    | c0_1(a2420)
    | ~ spl0_23
    | spl0_116 ),
    inference(resolution,[],[f513,f996]) ).

fof(f1927,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(resolution,[],[f484,f550]) ).

fof(f1928,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1927]) ).

fof(f1951,plain,
    ( ~ c3_1(a2402)
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_156 ),
    inference(resolution,[],[f1785,f1210]) ).

fof(f1955,plain,
    ( ~ c3_1(a2408)
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_177 ),
    inference(resolution,[],[f1785,f1417]) ).

fof(f1959,plain,
    ( ~ c3_1(a2417)
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_120 ),
    inference(resolution,[],[f1785,f1018]) ).

fof(f1978,plain,
    ( ~ spl0_122
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1959,f1016,f602,f572,f1026]) ).

fof(f1980,plain,
    ( ~ spl0_157
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1951,f1208,f602,f572,f1213]) ).

fof(f1985,plain,
    ( spl0_139
    | ~ spl0_164
    | ~ spl0_31
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1732,f1112,f545,f1273,f1117]) ).

fof(f1997,plain,
    ( ~ c3_1(a2435)
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_169 ),
    inference(resolution,[],[f1374,f1785]) ).

fof(f1998,plain,
    ( ~ spl0_98
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1997,f1372,f602,f572,f898]) ).

fof(f2059,plain,
    ( c3_1(a2410)
    | c0_1(a2410)
    | ~ spl0_29
    | spl0_139 ),
    inference(resolution,[],[f537,f1119]) ).

fof(f2078,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(resolution,[],[f546,f619]) ).

fof(f2091,plain,
    ( ~ c3_1(a2422)
    | c1_1(a2422)
    | ~ spl0_31
    | ~ spl0_111 ),
    inference(resolution,[],[f546,f970]) ).

fof(f2103,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f2078]) ).

fof(f2116,plain,
    ( c0_1(a2404)
    | c3_1(a2404)
    | ~ spl0_42
    | ~ spl0_152 ),
    inference(resolution,[],[f599,f1188]) ).

fof(f2117,plain,
    ( c0_1(a2405)
    | c3_1(a2405)
    | ~ spl0_42
    | ~ spl0_178 ),
    inference(resolution,[],[f599,f1423]) ).

fof(f2121,plain,
    ( c0_1(a2414)
    | c3_1(a2414)
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(resolution,[],[f599,f1055]) ).

fof(f2136,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_43 ),
    inference(resolution,[],[f603,f501]) ).

fof(f2141,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(resolution,[],[f603,f619]) ).

fof(f2146,plain,
    ( ~ c3_1(a2408)
    | ~ c1_1(a2408)
    | ~ spl0_43
    | ~ spl0_141 ),
    inference(resolution,[],[f603,f1130]) ).

fof(f2166,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f2141]) ).

fof(f2169,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f2136]) ).

fof(f2191,plain,
    ( c0_1(a2425)
    | ~ c1_1(a2425)
    | ~ spl0_45
    | ~ spl0_109 ),
    inference(resolution,[],[f613,f959]) ).

fof(f2218,plain,
    ( ~ c3_1(a2455)
    | ~ c0_1(a2455)
    | ~ spl0_48
    | spl0_168 ),
    inference(resolution,[],[f630,f1366]) ).

fof(f2226,plain,
    ( ~ spl0_87
    | ~ spl0_88
    | ~ spl0_48
    | spl0_168 ),
    inference(avatar_split_clause,[],[f2218,f1365,f629,f845,f840]) ).

fof(f2233,plain,
    ( spl0_164
    | spl0_139
    | ~ spl0_34
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1725,f1112,f559,f1117,f1273]) ).

fof(f2237,plain,
    ( spl0_95
    | ~ spl0_161
    | ~ spl0_20
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1299,f877,f500,f1258,f882]) ).

fof(f2239,plain,
    ( spl0_161
    | ~ spl0_93
    | ~ spl0_41
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1662,f877,f590,f872,f1258]) ).

fof(f2241,plain,
    ( ~ spl0_172
    | spl0_110
    | ~ spl0_45
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2191,f957,f612,f962,f1387]) ).

fof(f2249,plain,
    ( spl0_113
    | ~ spl0_112
    | ~ spl0_31
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2091,f968,f545,f973,f978]) ).

fof(f2266,plain,
    ( spl0_126
    | spl0_128
    | ~ spl0_42
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2121,f1053,f598,f1058,f1048]) ).

fof(f2275,plain,
    ( spl0_74
    | ~ spl0_72
    | ~ spl0_16
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1244,f765,f483,f760,f770]) ).

fof(f2276,plain,
    ( spl0_116
    | spl0_174
    | ~ spl0_25
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1340,f989,f520,f1397,f994]) ).

fof(f2279,plain,
    ( ~ spl0_142
    | ~ spl0_37
    | ~ spl0_43
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f1955,f1415,f602,f572,f1133]) ).

fof(f2291,plain,
    ( ~ c3_1(a2455)
    | ~ c1_1(a2455)
    | ~ spl0_37
    | spl0_89 ),
    inference(resolution,[],[f852,f573]) ).

fof(f2299,plain,
    ( ~ c3_1(a2427)
    | ~ c1_1(a2427)
    | ~ spl0_37
    | spl0_107 ),
    inference(resolution,[],[f948,f573]) ).

fof(f2307,plain,
    ( ~ c3_1(a2413)
    | ~ c1_1(a2413)
    | ~ spl0_37
    | spl0_131 ),
    inference(resolution,[],[f1076,f573]) ).

fof(f2323,plain,
    ( ~ c3_1(a2408)
    | c0_1(a2408)
    | ~ spl0_23
    | spl0_177 ),
    inference(resolution,[],[f1416,f513]) ).

fof(f2389,plain,
    ( c0_1(a2410)
    | c3_1(a2410)
    | ~ spl0_36
    | ~ spl0_138 ),
    inference(resolution,[],[f569,f1114]) ).

fof(f2396,plain,
    ( c0_1(a2425)
    | c3_1(a2425)
    | ~ spl0_36
    | ~ spl0_109 ),
    inference(resolution,[],[f569,f959]) ).

fof(f2413,plain,
    ( spl0_23
    | ~ spl0_16
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1928,f549,f483,f512]) ).

fof(f2416,plain,
    ( spl0_163
    | spl0_134
    | ~ spl0_34
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1722,f1080,f559,f1090,f1268]) ).

fof(f2417,plain,
    ( spl0_153
    | spl0_155
    | ~ spl0_34
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1905,f1197,f559,f1202,f1192]) ).

fof(f2438,plain,
    ( ~ spl0_129
    | ~ spl0_182
    | ~ spl0_37
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2307,f1074,f572,f1642,f1064]) ).

fof(f2443,plain,
    ( spl0_48
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f2103,f618,f545,f629]) ).

fof(f2447,plain,
    ( ~ spl0_177
    | ~ spl0_142
    | ~ spl0_43
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2146,f1128,f602,f1133,f1415]) ).

fof(f2457,plain,
    ( spl0_164
    | spl0_140
    | ~ spl0_36
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2389,f1112,f568,f1122,f1273]) ).

fof(f2460,plain,
    ( spl0_140
    | spl0_164
    | ~ spl0_29
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2059,f1117,f536,f1273,f1122]) ).

fof(f2497,plain,
    ( c3_1(a2484)
    | c0_1(a2484)
    | ~ spl0_29
    | spl0_79 ),
    inference(resolution,[],[f537,f799]) ).

fof(f2501,plain,
    ( c0_1(a2404)
    | c3_1(a2404)
    | ~ spl0_36
    | ~ spl0_151 ),
    inference(resolution,[],[f569,f1183]) ).

fof(f2523,plain,
    ( ~ c3_1(a2416)
    | ~ c1_1(a2416)
    | ~ spl0_43
    | ~ spl0_123 ),
    inference(resolution,[],[f603,f1034]) ).

fof(f2535,plain,
    ( ~ c3_1(a2412)
    | ~ c0_1(a2412)
    | ~ spl0_48
    | spl0_134 ),
    inference(resolution,[],[f630,f1092]) ).

fof(f2537,plain,
    ( ~ c3_1(a2422)
    | ~ c0_1(a2422)
    | ~ spl0_48
    | spl0_113 ),
    inference(resolution,[],[f630,f980]) ).

fof(f2538,plain,
    ( ~ c3_1(a2432)
    | ~ c0_1(a2432)
    | ~ spl0_48
    | spl0_101 ),
    inference(resolution,[],[f630,f916]) ).

fof(f2550,plain,
    ( ~ c0_1(a2420)
    | c1_1(a2420)
    | ~ spl0_50
    | spl0_115 ),
    inference(resolution,[],[f642,f991]) ).

fof(f2555,plain,
    ( ~ c0_1(a2455)
    | c1_1(a2455)
    | ~ spl0_50
    | spl0_89 ),
    inference(resolution,[],[f642,f852]) ).

fof(f2557,plain,
    ( spl0_116
    | ~ spl0_174
    | ~ spl0_50
    | spl0_115 ),
    inference(avatar_split_clause,[],[f2550,f989,f641,f1397,f994]) ).

fof(f2560,plain,
    ( ~ c3_1(a2435)
    | ~ c1_1(a2435)
    | ~ spl0_43
    | ~ spl0_96 ),
    inference(resolution,[],[f890,f603]) ).

fof(f2563,plain,
    ( ~ c3_1(a2435)
    | ~ c0_1(a2435)
    | ~ spl0_48
    | spl0_169 ),
    inference(resolution,[],[f1373,f630]) ).

fof(f2564,plain,
    ( ~ spl0_97
    | ~ spl0_98
    | ~ spl0_48
    | spl0_169 ),
    inference(avatar_split_clause,[],[f2563,f1372,f629,f898,f893]) ).

fof(f2582,plain,
    ( ~ c0_1(a2412)
    | c3_1(a2412)
    | ~ spl0_52
    | spl0_134 ),
    inference(resolution,[],[f651,f1092]) ).

fof(f2587,plain,
    ( ~ c0_1(a2468)
    | c3_1(a2468)
    | ~ spl0_52
    | spl0_86 ),
    inference(resolution,[],[f651,f836]) ).

fof(f2591,plain,
    ( spl0_84
    | ~ spl0_85
    | ~ spl0_52
    | spl0_86 ),
    inference(avatar_split_clause,[],[f2587,f834,f650,f829,f824]) ).

fof(f2595,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(resolution,[],[f655,f642]) ).

fof(f2606,plain,
    ( ~ c3_1(a2435)
    | ~ c0_1(a2435)
    | ~ spl0_53
    | ~ spl0_96 ),
    inference(resolution,[],[f655,f890]) ).

fof(f2612,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f2595]) ).

fof(f2615,plain,
    ( spl0_48
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2612,f654,f641,f629]) ).

fof(f2617,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_16
    | ~ spl0_54 ),
    inference(resolution,[],[f660,f484]) ).

fof(f2618,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(resolution,[],[f660,f642]) ).

fof(f2634,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f2618]) ).

fof(f2635,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_16
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f2617]) ).

fof(f2640,plain,
    ( ~ c3_1(a2409)
    | c0_1(a2409)
    | ~ spl0_20
    | spl0_70 ),
    inference(resolution,[],[f751,f501]) ).

fof(f2642,plain,
    ( ~ c0_1(a2418)
    | c1_1(a2418)
    | ~ spl0_50
    | spl0_118 ),
    inference(resolution,[],[f1007,f642]) ).

fof(f2655,plain,
    ( spl0_80
    | spl0_78
    | ~ spl0_29
    | spl0_79 ),
    inference(avatar_split_clause,[],[f2497,f797,f536,f792,f802]) ).

fof(f2659,plain,
    ( spl0_163
    | ~ spl0_133
    | ~ spl0_52
    | spl0_134 ),
    inference(avatar_split_clause,[],[f2582,f1090,f650,f1085,f1268]) ).

fof(f2675,plain,
    ( ~ c0_1(a2403)
    | ~ spl0_50
    | ~ spl0_54
    | spl0_155 ),
    inference(resolution,[],[f1204,f2634]) ).

fof(f2676,plain,
    ( ~ spl0_180
    | ~ spl0_50
    | ~ spl0_54
    | spl0_155 ),
    inference(avatar_split_clause,[],[f2675,f1202,f659,f641,f1431]) ).

fof(f2686,plain,
    ( spl0_174
    | ~ spl0_114
    | ~ spl0_23
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1911,f994,f512,f984,f1397]) ).

fof(f2689,plain,
    ( spl0_143
    | ~ spl0_142
    | ~ spl0_23
    | spl0_177 ),
    inference(avatar_split_clause,[],[f2323,f1415,f512,f1133,f1138]) ).

fof(f2699,plain,
    ( ~ c3_1(a2410)
    | c0_1(a2410)
    | ~ spl0_23
    | spl0_139 ),
    inference(resolution,[],[f513,f1119]) ).

fof(f2702,plain,
    ( ~ c3_1(a2422)
    | c0_1(a2422)
    | ~ spl0_23
    | spl0_113 ),
    inference(resolution,[],[f513,f980]) ).

fof(f2717,plain,
    ( c1_1(a2410)
    | c0_1(a2410)
    | ~ spl0_32
    | ~ spl0_138 ),
    inference(resolution,[],[f550,f1114]) ).

fof(f2721,plain,
    ( c1_1(a2422)
    | c0_1(a2422)
    | ~ spl0_32
    | ~ spl0_111 ),
    inference(resolution,[],[f550,f970]) ).

fof(f2730,plain,
    ( ~ c0_1(a2403)
    | c3_1(a2403)
    | ~ spl0_52
    | spl0_155 ),
    inference(resolution,[],[f651,f1204]) ).

fof(f2737,plain,
    ( spl0_153
    | ~ spl0_180
    | ~ spl0_52
    | spl0_155 ),
    inference(avatar_split_clause,[],[f2730,f1202,f650,f1431,f1192]) ).

fof(f2738,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_50
    | ~ spl0_57 ),
    inference(resolution,[],[f676,f642]) ).

fof(f2740,plain,
    ( c3_1(a2403)
    | ~ c0_1(a2403)
    | ~ spl0_57
    | ~ spl0_154 ),
    inference(resolution,[],[f676,f1199]) ).

fof(f2741,plain,
    ( c3_1(a2404)
    | ~ c0_1(a2404)
    | ~ spl0_57
    | ~ spl0_151 ),
    inference(resolution,[],[f676,f1183]) ).

fof(f2752,plain,
    ( c3_1(a2453)
    | ~ c0_1(a2453)
    | ~ spl0_57
    | ~ spl0_90 ),
    inference(resolution,[],[f676,f858]) ).

fof(f2755,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_50
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f2738]) ).

fof(f2760,plain,
    ( ~ spl0_179
    | spl0_150
    | ~ spl0_57
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2741,f1181,f675,f1176,f1426]) ).

fof(f2761,plain,
    ( ~ spl0_180
    | spl0_153
    | ~ spl0_57
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2740,f1197,f675,f1192,f1431]) ).

fof(f2762,plain,
    ( spl0_52
    | ~ spl0_50
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2755,f675,f641,f650]) ).

fof(f2773,plain,
    ( ~ c3_1(a2417)
    | ~ c0_1(a2417)
    | ~ spl0_58
    | ~ spl0_120 ),
    inference(resolution,[],[f682,f1018]) ).

fof(f2778,plain,
    ( ~ c3_1(a2435)
    | ~ c0_1(a2435)
    | ~ spl0_58
    | ~ spl0_169 ),
    inference(resolution,[],[f682,f1374]) ).

fof(f2780,plain,
    ( ~ c3_1(a2453)
    | ~ c0_1(a2453)
    | ~ spl0_58
    | ~ spl0_91 ),
    inference(resolution,[],[f682,f863]) ).

fof(f2781,plain,
    ( ~ c3_1(a2455)
    | ~ c0_1(a2455)
    | ~ spl0_58
    | ~ spl0_168 ),
    inference(resolution,[],[f682,f1367]) ).

fof(f2792,plain,
    ( ~ spl0_97
    | ~ spl0_98
    | ~ spl0_58
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2778,f1372,f681,f898,f893]) ).

fof(f2814,plain,
    ( ~ c0_1(a2411)
    | ~ c1_1(a2411)
    | ~ spl0_59
    | spl0_137 ),
    inference(resolution,[],[f689,f1108]) ).

fof(f2815,plain,
    ( ~ c0_1(a2413)
    | ~ c1_1(a2413)
    | ~ spl0_59
    | spl0_131 ),
    inference(resolution,[],[f689,f1076]) ).

fof(f2819,plain,
    ( ~ c0_1(a2455)
    | ~ c1_1(a2455)
    | ~ spl0_59
    | spl0_89 ),
    inference(resolution,[],[f689,f852]) ).

fof(f2829,plain,
    ( ~ c3_1(a2402)
    | c0_1(a2402)
    | ~ spl0_60
    | ~ spl0_156 ),
    inference(resolution,[],[f694,f1210]) ).

fof(f2861,plain,
    ( spl0_60
    | ~ spl0_20
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f2169,f602,f500,f693]) ).

fof(f2863,plain,
    ( ~ spl0_124
    | ~ spl0_125
    | ~ spl0_43
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2523,f1032,f602,f1042,f1037]) ).

fof(f2864,plain,
    ( ~ spl0_121
    | ~ spl0_122
    | ~ spl0_58
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2773,f1016,f681,f1026,f1021]) ).

fof(f2869,plain,
    ( ~ spl0_168
    | ~ spl0_87
    | ~ spl0_59
    | spl0_89 ),
    inference(avatar_split_clause,[],[f2819,f850,f688,f840,f1365]) ).

fof(f2878,plain,
    ( spl0_108
    | spl0_110
    | ~ spl0_36
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2396,f957,f568,f962,f952]) ).

fof(f2880,plain,
    ( spl0_150
    | spl0_179
    | ~ spl0_36
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2501,f1181,f568,f1426,f1176]) ).

fof(f2884,plain,
    ( ~ spl0_168
    | ~ spl0_88
    | ~ spl0_37
    | spl0_89 ),
    inference(avatar_split_clause,[],[f2291,f850,f572,f845,f1365]) ).

fof(f2891,plain,
    ( ~ spl0_179
    | spl0_150
    | ~ spl0_57
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2741,f1181,f675,f1176,f1426]) ).

fof(f2893,plain,
    ( spl0_158
    | ~ spl0_157
    | ~ spl0_60
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2829,f1208,f693,f1213,f1218]) ).

fof(f2914,plain,
    ( ~ c3_1(a2427)
    | ~ c1_1(a2427)
    | ~ spl0_37
    | spl0_107 ),
    inference(resolution,[],[f573,f948]) ).

fof(f2920,plain,
    ( ~ c3_1(a2409)
    | ~ c1_1(a2409)
    | ~ spl0_37
    | spl0_70 ),
    inference(resolution,[],[f573,f751]) ).

fof(f2928,plain,
    ( c1_1(a2412)
    | ~ c0_1(a2412)
    | ~ spl0_54
    | ~ spl0_132 ),
    inference(resolution,[],[f660,f1082]) ).

fof(f2933,plain,
    ( c1_1(a2435)
    | ~ c0_1(a2435)
    | ~ spl0_54
    | ~ spl0_96 ),
    inference(resolution,[],[f660,f890]) ).

fof(f2974,plain,
    ( c3_1(a2413)
    | ~ c0_1(a2413)
    | ~ spl0_61
    | ~ spl0_129 ),
    inference(resolution,[],[f700,f1066]) ).

fof(f2995,plain,
    ( ~ spl0_130
    | spl0_182
    | ~ spl0_61
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2974,f1064,f699,f1642,f1069]) ).

fof(f2996,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(resolution,[],[f705,f573]) ).

fof(f3003,plain,
    ( ~ c0_1(a2416)
    | ~ c1_1(a2416)
    | ~ spl0_62
    | ~ spl0_123 ),
    inference(resolution,[],[f705,f1034]) ).

fof(f3007,plain,
    ( ~ c0_1(a2435)
    | ~ c1_1(a2435)
    | ~ spl0_62
    | ~ spl0_96 ),
    inference(resolution,[],[f705,f890]) ).

fof(f3008,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f2996]) ).

fof(f3009,plain,
    ( ~ spl0_169
    | ~ spl0_97
    | ~ spl0_62
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f3007,f888,f704,f893,f1372]) ).

fof(f3011,plain,
    ( spl0_58
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f3008,f704,f572,f681]) ).

fof(f3021,plain,
    ( spl0_140
    | ~ spl0_164
    | ~ spl0_23
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2699,f1117,f512,f1273,f1122]) ).

fof(f3023,plain,
    ( spl0_173
    | ~ spl0_112
    | ~ spl0_23
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2702,f978,f512,f973,f1392]) ).

fof(f3032,plain,
    ( spl0_140
    | spl0_139
    | ~ spl0_32
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f2717,f1112,f549,f1117,f1122]) ).

fof(f3034,plain,
    ( spl0_173
    | spl0_113
    | ~ spl0_32
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2721,f968,f549,f978,f1392]) ).

fof(f3036,plain,
    ( spl0_108
    | spl0_172
    | ~ spl0_34
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1889,f957,f559,f1387,f952]) ).

fof(f3040,plain,
    ( spl0_58
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f2166,f618,f602,f681]) ).

fof(f3045,plain,
    ( ~ spl0_169
    | ~ spl0_98
    | ~ spl0_43
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2560,f888,f602,f898,f1372]) ).

fof(f3049,plain,
    ( ~ spl0_87
    | ~ spl0_88
    | ~ spl0_46
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1823,f850,f618,f845,f840]) ).

fof(f3052,plain,
    ( spl0_168
    | ~ spl0_87
    | ~ spl0_50
    | spl0_89 ),
    inference(avatar_split_clause,[],[f2555,f850,f641,f840,f1365]) ).

fof(f3053,plain,
    ( spl0_119
    | ~ spl0_117
    | ~ spl0_50
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2642,f1005,f641,f1000,f1010]) ).

fof(f3057,plain,
    ( ~ spl0_92
    | ~ spl0_160
    | ~ spl0_58
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2780,f861,f681,f1253,f866]) ).

fof(f3058,plain,
    ( ~ spl0_87
    | ~ spl0_88
    | ~ spl0_58
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2781,f1365,f681,f845,f840]) ).

fof(f3060,plain,
    ( ~ spl0_92
    | spl0_160
    | ~ spl0_57
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2752,f856,f675,f1253,f866]) ).

fof(f3067,plain,
    ( spl0_48
    | ~ spl0_16
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2635,f659,f483,f629]) ).

fof(f3076,plain,
    ( spl0_71
    | ~ spl0_69
    | ~ spl0_20
    | spl0_70 ),
    inference(avatar_split_clause,[],[f2640,f749,f500,f744,f754]) ).

fof(f3084,plain,
    ( ~ spl0_105
    | ~ spl0_106
    | ~ spl0_37
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2299,f946,f572,f941,f936]) ).

fof(f3085,plain,
    ( ~ spl0_105
    | ~ spl0_106
    | ~ spl0_37
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2914,f946,f572,f941,f936]) ).

fof(f3087,plain,
    ( ~ spl0_166
    | ~ spl0_69
    | ~ spl0_37
    | spl0_70 ),
    inference(avatar_split_clause,[],[f2920,f749,f572,f744,f1355]) ).

fof(f3092,plain,
    ( spl0_95
    | ~ spl0_93
    | ~ spl0_38
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1694,f877,f578,f872,f882]) ).

fof(f3093,plain,
    ( spl0_71
    | ~ spl0_166
    | ~ spl0_38
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1699,f749,f578,f1355,f754]) ).

fof(f3094,plain,
    ( spl0_161
    | spl0_95
    | ~ spl0_42
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1769,f872,f598,f882,f1258]) ).

fof(f3095,plain,
    ( spl0_150
    | spl0_179
    | ~ spl0_42
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2116,f1186,f598,f1426,f1176]) ).

fof(f3096,plain,
    ( spl0_147
    | spl0_149
    | ~ spl0_42
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2117,f1421,f598,f1170,f1160]) ).

fof(f3108,plain,
    ( ~ spl0_133
    | ~ spl0_163
    | ~ spl0_48
    | spl0_134 ),
    inference(avatar_split_clause,[],[f2535,f1090,f629,f1268,f1085]) ).

fof(f3110,plain,
    ( ~ spl0_173
    | ~ spl0_112
    | ~ spl0_48
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2537,f978,f629,f973,f1392]) ).

fof(f3111,plain,
    ( ~ spl0_99
    | ~ spl0_100
    | ~ spl0_48
    | spl0_101 ),
    inference(avatar_split_clause,[],[f2538,f914,f629,f909,f904]) ).

fof(f3117,plain,
    ( ~ spl0_97
    | ~ spl0_98
    | ~ spl0_53
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2606,f888,f654,f898,f893]) ).

fof(f3125,plain,
    ( ~ spl0_97
    | spl0_169
    | ~ spl0_54
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2933,f888,f659,f1372,f893]) ).

fof(f3127,plain,
    ( ~ spl0_133
    | spl0_134
    | ~ spl0_54
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2928,f1080,f659,f1090,f1085]) ).

fof(f3130,plain,
    ( ~ spl0_136
    | ~ spl0_176
    | ~ spl0_59
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2814,f1106,f688,f1409,f1101]) ).

fof(f3131,plain,
    ( ~ spl0_129
    | ~ spl0_130
    | ~ spl0_59
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2815,f1074,f688,f1069,f1064]) ).

fof(f3136,plain,
    ( ~ spl0_124
    | ~ spl0_175
    | ~ spl0_62
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f3003,f1032,f704,f1403,f1037]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s5,plain,
    ( ~ spl0_5
    | spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s7,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s8,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_17
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s10,plain,
    ( ~ spl0_15
    | spl0_21
    | ~ spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s11,plain,
    ( ~ spl0_8
    | ~ spl0_15
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s12,plain,
    ( ~ spl0_15
    | spl0_21
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s13,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_25
    | spl0_28 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s16,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | spl0_29
    | spl0_31 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s20,plain,
    ( ~ spl0_15
    | spl0_26
    | ~ spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s22,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15
    | spl0_36 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s23,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_24
    | spl0_37 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s24,plain,
    ( spl0_9
    | ~ spl0_15
    | ~ spl0_18
    | spl0_37 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s25,plain,
    ( ~ spl0_15
    | spl0_23
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s26,plain,
    ( ~ spl0_15
    | spl0_20
    | spl0_34
    | spl0_38 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s27,plain,
    ( ~ spl0_15
    | spl0_39
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s28,plain,
    ( spl0_2
    | ~ spl0_15
    | spl0_17
    | spl0_41 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s29,plain,
    ( ~ spl0_15
    | ~ spl0_22
    | spl0_29
    | spl0_41 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s30,plain,
    ( ~ spl0_15
    | spl0_32
    | spl0_35
    | spl0_41 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s31,plain,
    ( ~ spl0_8
    | ~ spl0_15
    | spl0_38
    | spl0_41 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s34,plain,
    ( ~ spl0_15
    | spl0_21
    | spl0_34
    | spl0_43 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s35,plain,
    ( ~ spl0_15
    | ~ spl0_33
    | spl0_37
    | spl0_43 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s36,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s37,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_18
    | spl0_45 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s39,plain,
    ( ~ spl0_14
    | ~ spl0_15
    | spl0_46 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s41,plain,
    ( ~ spl0_15
    | ~ spl0_18
    | spl0_26
    | spl0_46 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s42,plain,
    ( ~ spl0_15
    | spl0_35
    | spl0_37
    | spl0_46 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s43,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_19
    | spl0_48 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s44,plain,
    ( spl0_2
    | ~ spl0_15
    | ~ spl0_33
    | spl0_48 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s45,plain,
    ( ~ spl0_15
    | ~ spl0_18
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s46,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_28
    | spl0_48 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s47,plain,
    ( ~ spl0_15
    | spl0_19
    | spl0_31
    | spl0_48 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s48,plain,
    ( spl0_9
    | ~ spl0_15
    | spl0_39
    | spl0_50 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s49,plain,
    ( ~ spl0_5
    | ~ spl0_15
    | spl0_42
    | spl0_50 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s50,plain,
    ( ~ spl0_15
    | spl0_43
    | ~ spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s51,plain,
    ( ~ spl0_15
    | spl0_23
    | spl0_39
    | spl0_53 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s52,plain,
    ( ~ spl0_15
    | spl0_28
    | spl0_35
    | spl0_53 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s54,plain,
    ( ~ spl0_15
    | spl0_40
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s55,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_54
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s57,plain,
    ( ~ spl0_15
    | spl0_32
    | spl0_45
    | spl0_54 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s59,plain,
    ( ~ spl0_15
    | ~ spl0_33
    | spl0_55
    | spl0_57 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s60,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_50
    | spl0_57 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s61,plain,
    ( ~ spl0_15
    | spl0_39
    | spl0_58 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s62,plain,
    ( spl0_9
    | ~ spl0_15
    | spl0_26
    | spl0_58 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s63,plain,
    ( ~ spl0_15
    | spl0_30
    | spl0_37
    | spl0_58 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s64,plain,
    ( ~ spl0_15
    | spl0_16
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s66,plain,
    ( spl0_1
    | ~ spl0_15
    | spl0_26
    | spl0_59 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s67,plain,
    ( ~ spl0_15
    | ~ spl0_56
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s68,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | spl0_46
    | spl0_59 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s69,plain,
    ( ~ spl0_15
    | spl0_48
    | ~ spl0_51
    | spl0_59 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s70,plain,
    ( ~ spl0_8
    | ~ spl0_15
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s72,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_34
    | spl0_62 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s73,plain,
    ( ~ spl0_15
    | spl0_31
    | spl0_36
    | spl0_62 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s76,plain,
    ( ~ spl0_15
    | spl0_38
    | spl0_59
    | spl0_62 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s81,plain,
    ( spl0_11
    | spl0_66 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s82,plain,
    ( spl0_11
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s83,plain,
    ( spl0_11
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s85,plain,
    ( spl0_56
    | spl0_69 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s86,plain,
    ( spl0_56
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s87,plain,
    ( spl0_56
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s89,plain,
    ( ~ spl0_47
    | spl0_72 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s90,plain,
    ( ~ spl0_47
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s91,plain,
    ( ~ spl0_47
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s97,plain,
    ( ~ spl0_10
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s98,plain,
    ( ~ spl0_10
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s99,plain,
    ( ~ spl0_10
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s105,plain,
    ( ~ spl0_24
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s106,plain,
    ( ~ spl0_24
    | spl0_85 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s107,plain,
    ( ~ spl0_24
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s109,plain,
    ( ~ spl0_21
    | spl0_87 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s110,plain,
    ( ~ spl0_21
    | spl0_88 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s111,plain,
    ( ~ spl0_21
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s113,plain,
    ( ~ spl0_44
    | spl0_90 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s114,plain,
    ( ~ spl0_44
    | spl0_91 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s115,plain,
    ( ~ spl0_44
    | spl0_92 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s117,plain,
    ( spl0_18
    | spl0_93 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s118,plain,
    ( spl0_18
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s119,plain,
    ( spl0_18
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s121,plain,
    ( ~ spl0_19
    | spl0_96 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s122,plain,
    ( ~ spl0_19
    | spl0_97 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s123,plain,
    ( ~ spl0_19
    | spl0_98 ),
    inference(sat_conversion,[],[f901]) ).

cnf(s125,plain,
    ( spl0_5
    | spl0_99 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s126,plain,
    ( spl0_5
    | spl0_100 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s127,plain,
    ( spl0_5
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s133,plain,
    ( ~ spl0_49
    | spl0_105 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s134,plain,
    ( ~ spl0_49
    | spl0_106 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s135,plain,
    ( ~ spl0_49
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s137,plain,
    ( ~ spl0_40
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s138,plain,
    ( ~ spl0_40
    | spl0_109 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s139,plain,
    ( ~ spl0_40
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s141,plain,
    ( spl0_14
    | spl0_111 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s142,plain,
    ( spl0_14
    | spl0_112 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s143,plain,
    ( spl0_14
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s145,plain,
    ( spl0_22
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s146,plain,
    ( spl0_22
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s147,plain,
    ( spl0_22
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s149,plain,
    ( ~ spl0_55
    | spl0_117 ),
    inference(sat_conversion,[],[f1003]) ).

cnf(s150,plain,
    ( ~ spl0_55
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s151,plain,
    ( ~ spl0_55
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s153,plain,
    ( ~ spl0_39
    | spl0_120 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s154,plain,
    ( ~ spl0_39
    | spl0_121 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s155,plain,
    ( ~ spl0_39
    | spl0_122 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s157,plain,
    ( ~ spl0_9
    | spl0_123 ),
    inference(sat_conversion,[],[f1035]) ).

cnf(s158,plain,
    ( ~ spl0_9
    | spl0_124 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s159,plain,
    ( ~ spl0_9
    | spl0_125 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s161,plain,
    ( ~ spl0_30
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s162,plain,
    ( ~ spl0_30
    | spl0_127 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s163,plain,
    ( ~ spl0_30
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s165,plain,
    ( ~ spl0_2
    | spl0_129 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s166,plain,
    ( ~ spl0_2
    | spl0_130 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s167,plain,
    ( ~ spl0_2
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s168,plain,
    ( ~ spl0_2
    | spl0_15 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s169,plain,
    ( spl0_3
    | spl0_132 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s170,plain,
    ( spl0_3
    | spl0_133 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s171,plain,
    ( spl0_3
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s172,plain,
    ( spl0_3
    | spl0_15 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s173,plain,
    ( ~ spl0_1
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s174,plain,
    ( ~ spl0_1
    | spl0_136 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s175,plain,
    ( ~ spl0_1
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s176,plain,
    ( ~ spl0_1
    | spl0_15 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s177,plain,
    ( ~ spl0_26
    | spl0_138 ),
    inference(sat_conversion,[],[f1115]) ).

cnf(s178,plain,
    ( ~ spl0_26
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s179,plain,
    ( ~ spl0_26
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s181,plain,
    ( spl0_6
    | spl0_141 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s182,plain,
    ( spl0_6
    | spl0_142 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s183,plain,
    ( spl0_6
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1141]) ).

cnf(s185,plain,
    ( spl0_51
    | spl0_144 ),
    inference(sat_conversion,[],[f1147]) ).

cnf(s186,plain,
    ( spl0_51
    | spl0_145 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s187,plain,
    ( spl0_51
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s189,plain,
    ( spl0_8
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s190,plain,
    ( spl0_8
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s191,plain,
    ( spl0_8
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s193,plain,
    ( ~ spl0_35
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s194,plain,
    ( ~ spl0_35
    | spl0_151 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s195,plain,
    ( ~ spl0_35
    | spl0_152 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s197,plain,
    ( spl0_33
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1195]) ).

cnf(s198,plain,
    ( spl0_33
    | spl0_154 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s199,plain,
    ( spl0_33
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1205]) ).

cnf(s201,plain,
    ( ~ spl0_17
    | spl0_156 ),
    inference(sat_conversion,[],[f1211]) ).

cnf(s202,plain,
    ( ~ spl0_17
    | spl0_157 ),
    inference(sat_conversion,[],[f1216]) ).

cnf(s203,plain,
    ( ~ spl0_17
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1221]) ).

cnf(s213,plain,
    ( ~ spl0_25
    | spl0_70
    | spl0_71
    | spl0_166 ),
    inference(sat_conversion,[],[f1358]) ).

cnf(s231,plain,
    ( ~ spl0_25
    | spl0_148
    | spl0_149
    | spl0_178 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s246,plain,
    ( ~ spl0_27
    | spl0_114
    | spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s263,plain,
    ( ~ spl0_28
    | spl0_94
    | spl0_95
    | spl0_161 ),
    inference(sat_conversion,[],[f1522]) ).

cnf(s268,plain,
    ( ~ spl0_28
    | spl0_114
    | spl0_115
    | spl0_174 ),
    inference(sat_conversion,[],[f1527]) ).

cnf(s272,plain,
    ( ~ spl0_28
    | spl0_135
    | spl0_137
    | spl0_176 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s276,plain,
    ( ~ spl0_28
    | spl0_147
    | spl0_148
    | spl0_149 ),
    inference(sat_conversion,[],[f1535]) ).

cnf(s303,plain,
    ( ~ spl0_29
    | spl0_153
    | spl0_155
    | spl0_180 ),
    inference(sat_conversion,[],[f1592]) ).

cnf(s323,plain,
    ( ~ spl0_36
    | ~ spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s329,plain,
    ( ~ spl0_36
    | ~ spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s331,plain,
    ( ~ spl0_41
    | ~ spl0_129
    | spl0_131
    | spl0_182 ),
    inference(sat_conversion,[],[f1709]) ).

cnf(s353,plain,
    ( ~ spl0_37
    | ~ spl0_45
    | spl0_60 ),
    inference(sat_conversion,[],[f1809]) ).

cnf(s356,plain,
    ( ~ spl0_46
    | ~ spl0_130
    | spl0_131
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s366,plain,
    ( ~ spl0_23
    | ~ spl0_66
    | spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f1839]) ).

cnf(s367,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | spl0_71
    | spl0_166 ),
    inference(sat_conversion,[],[f1840]) ).

cnf(s381,plain,
    ( ~ spl0_45
    | ~ spl0_144
    | ~ spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s383,plain,
    ( ~ spl0_45
    | ~ spl0_123
    | ~ spl0_124
    | spl0_175 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s394,plain,
    ( ~ spl0_41
    | spl0_135
    | ~ spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f1866]) ).

cnf(s417,plain,
    ( ~ spl0_37
    | ~ spl0_43
    | ~ spl0_120
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s419,plain,
    ( ~ spl0_37
    | ~ spl0_43
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1980]) ).

cnf(s423,plain,
    ( ~ spl0_31
    | ~ spl0_138
    | spl0_139
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1985]) ).

cnf(s430,plain,
    ( ~ spl0_37
    | ~ spl0_43
    | ~ spl0_98
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s450,plain,
    ( ~ spl0_48
    | ~ spl0_87
    | ~ spl0_88
    | spl0_168 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s457,plain,
    ( ~ spl0_34
    | ~ spl0_138
    | spl0_139
    | spl0_164 ),
    inference(sat_conversion,[],[f2233]) ).

cnf(s461,plain,
    ( ~ spl0_20
    | spl0_94
    | spl0_95
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2237]) ).

cnf(s463,plain,
    ( ~ spl0_41
    | ~ spl0_93
    | spl0_94
    | spl0_161 ),
    inference(sat_conversion,[],[f2239]) ).

cnf(s465,plain,
    ( ~ spl0_45
    | ~ spl0_109
    | spl0_110
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2241]) ).

cnf(s473,plain,
    ( ~ spl0_31
    | ~ spl0_111
    | ~ spl0_112
    | spl0_113 ),
    inference(sat_conversion,[],[f2249]) ).

cnf(s490,plain,
    ( ~ spl0_42
    | spl0_126
    | ~ spl0_127
    | spl0_128 ),
    inference(sat_conversion,[],[f2266]) ).

cnf(s497,plain,
    ( ~ spl0_16
    | ~ spl0_72
    | spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f2275]) ).

cnf(s498,plain,
    ( ~ spl0_25
    | spl0_115
    | spl0_116
    | spl0_174 ),
    inference(sat_conversion,[],[f2276]) ).

cnf(s501,plain,
    ( ~ spl0_37
    | ~ spl0_43
    | ~ spl0_142
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2279]) ).

cnf(s525,plain,
    ( ~ spl0_16
    | spl0_23
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s528,plain,
    ( ~ spl0_34
    | ~ spl0_132
    | spl0_134
    | spl0_163 ),
    inference(sat_conversion,[],[f2416]) ).

cnf(s529,plain,
    ( ~ spl0_34
    | spl0_153
    | ~ spl0_154
    | spl0_155 ),
    inference(sat_conversion,[],[f2417]) ).

cnf(s550,plain,
    ( ~ spl0_37
    | ~ spl0_129
    | spl0_131
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2438]) ).

cnf(s556,plain,
    ( ~ spl0_31
    | ~ spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f2443]) ).

cnf(s560,plain,
    ( ~ spl0_43
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s570,plain,
    ( ~ spl0_36
    | ~ spl0_138
    | spl0_140
    | spl0_164 ),
    inference(sat_conversion,[],[f2457]) ).

cnf(s573,plain,
    ( ~ spl0_29
    | spl0_139
    | spl0_140
    | spl0_164 ),
    inference(sat_conversion,[],[f2460]) ).

cnf(s575,plain,
    ( ~ spl0_50
    | spl0_115
    | spl0_116
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s578,plain,
    ( ~ spl0_48
    | ~ spl0_97
    | ~ spl0_98
    | spl0_169 ),
    inference(sat_conversion,[],[f2564]) ).

cnf(s580,plain,
    ( ~ spl0_52
    | spl0_84
    | ~ spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f2591]) ).

cnf(s584,plain,
    ( spl0_48
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f2615]) ).

cnf(s599,plain,
    ( ~ spl0_29
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f2655]) ).

cnf(s603,plain,
    ( ~ spl0_52
    | ~ spl0_133
    | spl0_134
    | spl0_163 ),
    inference(sat_conversion,[],[f2659]) ).

cnf(s610,plain,
    ( ~ spl0_50
    | ~ spl0_54
    | spl0_155
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2676]) ).

cnf(s620,plain,
    ( ~ spl0_23
    | ~ spl0_114
    | spl0_116
    | spl0_174 ),
    inference(sat_conversion,[],[f2686]) ).

cnf(s623,plain,
    ( ~ spl0_23
    | ~ spl0_142
    | spl0_143
    | spl0_177 ),
    inference(sat_conversion,[],[f2689]) ).

cnf(s631,plain,
    ( ~ spl0_52
    | spl0_153
    | spl0_155
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2737]) ).

cnf(s636,plain,
    ( ~ spl0_57
    | spl0_150
    | ~ spl0_151
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2760]) ).

cnf(s637,plain,
    ( ~ spl0_57
    | spl0_153
    | ~ spl0_154
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2761]) ).

cnf(s638,plain,
    ( ~ spl0_50
    | spl0_52
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f2762]) ).

cnf(s640,plain,
    ( ~ spl0_58
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2792]) ).

cnf(s658,plain,
    ( ~ spl0_20
    | ~ spl0_43
    | spl0_60 ),
    inference(sat_conversion,[],[f2861]) ).

cnf(s660,plain,
    ( ~ spl0_43
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2863]) ).

cnf(s662,plain,
    ( ~ spl0_58
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2864]) ).

cnf(s667,plain,
    ( ~ spl0_59
    | ~ spl0_87
    | spl0_89
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2869]) ).

cnf(s676,plain,
    ( ~ spl0_36
    | spl0_108
    | ~ spl0_109
    | spl0_110 ),
    inference(sat_conversion,[],[f2878]) ).

cnf(s678,plain,
    ( ~ spl0_36
    | spl0_150
    | ~ spl0_151
    | spl0_179 ),
    inference(sat_conversion,[],[f2880]) ).

cnf(s682,plain,
    ( ~ spl0_37
    | ~ spl0_88
    | spl0_89
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2884]) ).

cnf(s689,plain,
    ( ~ spl0_57
    | spl0_150
    | ~ spl0_151
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2891]) ).

cnf(s691,plain,
    ( ~ spl0_60
    | ~ spl0_156
    | ~ spl0_157
    | spl0_158 ),
    inference(sat_conversion,[],[f2893]) ).

cnf(s700,plain,
    ( ~ spl0_61
    | ~ spl0_129
    | ~ spl0_130
    | spl0_182 ),
    inference(sat_conversion,[],[f2995]) ).

cnf(s701,plain,
    ( ~ spl0_62
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f3009]) ).

cnf(s703,plain,
    ( ~ spl0_37
    | spl0_58
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f3011]) ).

cnf(s713,plain,
    ( ~ spl0_23
    | spl0_139
    | spl0_140
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f3021]) ).

cnf(s715,plain,
    ( ~ spl0_23
    | ~ spl0_112
    | spl0_113
    | spl0_173 ),
    inference(sat_conversion,[],[f3023]) ).

cnf(s724,plain,
    ( ~ spl0_32
    | ~ spl0_138
    | spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f3032]) ).

cnf(s726,plain,
    ( ~ spl0_32
    | ~ spl0_111
    | spl0_113
    | spl0_173 ),
    inference(sat_conversion,[],[f3034]) ).

cnf(s728,plain,
    ( ~ spl0_34
    | spl0_108
    | ~ spl0_109
    | spl0_172 ),
    inference(sat_conversion,[],[f3036]) ).

cnf(s732,plain,
    ( ~ spl0_43
    | ~ spl0_46
    | spl0_58 ),
    inference(sat_conversion,[],[f3040]) ).

cnf(s737,plain,
    ( ~ spl0_43
    | ~ spl0_96
    | ~ spl0_98
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f3045]) ).

cnf(s741,plain,
    ( ~ spl0_46
    | ~ spl0_87
    | ~ spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f3049]) ).

cnf(s744,plain,
    ( ~ spl0_50
    | ~ spl0_87
    | spl0_89
    | spl0_168 ),
    inference(sat_conversion,[],[f3052]) ).

cnf(s746,plain,
    ( ~ spl0_50
    | ~ spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f3053]) ).

cnf(s750,plain,
    ( ~ spl0_58
    | ~ spl0_91
    | ~ spl0_92
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f3057]) ).

cnf(s751,plain,
    ( ~ spl0_58
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3058]) ).

cnf(s753,plain,
    ( ~ spl0_57
    | ~ spl0_90
    | ~ spl0_92
    | spl0_160 ),
    inference(sat_conversion,[],[f3060]) ).

cnf(s761,plain,
    ( ~ spl0_16
    | spl0_48
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f3067]) ).

cnf(s770,plain,
    ( ~ spl0_20
    | ~ spl0_69
    | spl0_70
    | spl0_71 ),
    inference(sat_conversion,[],[f3076]) ).

cnf(s778,plain,
    ( ~ spl0_37
    | ~ spl0_105
    | ~ spl0_106
    | spl0_107 ),
    inference(sat_conversion,[],[f3084]) ).

cnf(s779,plain,
    ( ~ spl0_37
    | ~ spl0_105
    | ~ spl0_106
    | spl0_107 ),
    inference(sat_conversion,[],[f3085]) ).

cnf(s781,plain,
    ( ~ spl0_37
    | ~ spl0_69
    | spl0_70
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f3087]) ).

cnf(s786,plain,
    ( ~ spl0_38
    | ~ spl0_93
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f3092]) ).

cnf(s787,plain,
    ( ~ spl0_38
    | spl0_70
    | spl0_71
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f3093]) ).

cnf(s788,plain,
    ( ~ spl0_42
    | ~ spl0_93
    | spl0_95
    | spl0_161 ),
    inference(sat_conversion,[],[f3094]) ).

cnf(s789,plain,
    ( ~ spl0_42
    | spl0_150
    | ~ spl0_152
    | spl0_179 ),
    inference(sat_conversion,[],[f3095]) ).

cnf(s790,plain,
    ( ~ spl0_42
    | spl0_147
    | spl0_149
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f3096]) ).

cnf(s802,plain,
    ( ~ spl0_48
    | ~ spl0_133
    | spl0_134
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3108]) ).

cnf(s804,plain,
    ( ~ spl0_48
    | ~ spl0_112
    | spl0_113
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f3110]) ).

cnf(s805,plain,
    ( ~ spl0_48
    | ~ spl0_99
    | ~ spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f3111]) ).

cnf(s811,plain,
    ( ~ spl0_53
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f3117]) ).

cnf(s819,plain,
    ( ~ spl0_54
    | ~ spl0_96
    | ~ spl0_97
    | spl0_169 ),
    inference(sat_conversion,[],[f3125]) ).

cnf(s821,plain,
    ( ~ spl0_54
    | ~ spl0_132
    | ~ spl0_133
    | spl0_134 ),
    inference(sat_conversion,[],[f3127]) ).

cnf(s824,plain,
    ( ~ spl0_59
    | ~ spl0_136
    | spl0_137
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f3130]) ).

cnf(s825,plain,
    ( ~ spl0_59
    | ~ spl0_129
    | ~ spl0_130
    | spl0_131 ),
    inference(sat_conversion,[],[f3131]) ).

cnf(s830,plain,
    ( ~ spl0_62
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f3136]) ).

cnf(s832,plain,
    ( spl0_8
    | ~ spl0_28 ),
    inference(rat,[],[s276,s189,s190,s191]) ).

cnf(s833,plain,
    ( spl0_18
    | spl0_34
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(rat,[],[s26,s786,s461,s263,s117,s118,s119]) ).

cnf(s834,plain,
    ( spl0_57
    | spl0_16
    | ~ spl0_87
    | ~ spl0_88
    | spl0_89
    | ~ spl0_15 ),
    inference(rat,[],[s744,s751,s60,s64,s473,s141,s142,s143,s39,s741]) ).

cnf(s835,plain,
    ( spl0_48
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s383,s830,s57,s72,s724,s473,s177,s178,s179,s141,s142,s143,s41,s39,s741,s109,s110,s111,s34,s660,s157,s158,s159,s24,s779,s133,s134,s135,s45,s833,s529,s197,s198,s199,s46,s44,s172,s821,s169,s170,s171,s1]) ).

cnf(s836,plain,
    ( ~ spl0_39
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(rat,[],[s417,s153,s155]) ).

cnf(s837,plain,
    ( spl0_116
    | spl0_115
    | ~ spl0_50
    | spl0_21
    | ~ spl0_28
    | ~ spl0_15 ),
    inference(rat,[],[s10,s145,s620,s268,s575]) ).

cnf(s838,plain,
    ( ~ spl0_17
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(rat,[],[s419,s201,s202]) ).

cnf(s839,plain,
    ( spl0_9
    | ~ spl0_43
    | spl0_21
    | ~ spl0_18
    | ~ spl0_28
    | spl0_3 ),
    inference(rat,[],[s837,s146,s147,s10,s367,s781,s85,s86,s87,s55,s838,s48,s836,s24,s172,s821,s169,s170,s171]) ).

cnf(s840,plain,
    ( ~ spl0_43
    | spl0_21
    | spl0_3
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(rat,[],[s660,s157,s158,s159,s839]) ).

cnf(s841,plain,
    ( spl0_21
    | ~ spl0_28
    | spl0_34
    | spl0_3 ),
    inference(rat,[],[s840,s34,s833,s172]) ).

cnf(s842,plain,
    ( ~ spl0_28
    | ~ spl0_48
    | spl0_3 ),
    inference(rat,[],[s383,s830,s57,s72,s157,s158,s724,s473,s24,s177,s178,s179,s141,s142,s143,s682,s41,s39,s450,s741,s109,s110,s111,s841,s833,s172,s821,s528,s802,s170,s171,s169]) ).

cnf(s843,plain,
    ( spl0_18
    | ~ spl0_43
    | spl0_34
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s691,s201,s202,s203,s28,s463,s461,s658,s26,s786,s117,s118,s119]) ).

cnf(s844,plain,
    ( ~ spl0_37
    | ~ spl0_43
    | spl0_28
    | ~ spl0_48
    | spl0_54
    | ~ spl0_15 ),
    inference(rat,[],[s578,s430,s122,s123,s13,s213,s781,s85,s86,s87,s55,s838]) ).

cnf(s845,plain,
    ( ~ spl0_43
    | spl0_28
    | spl0_34
    | ~ spl0_48
    | spl0_54
    | ~ spl0_15
    | spl0_2 ),
    inference(rat,[],[s660,s157,s158,s159,s24,s844,s843]) ).

cnf(s846,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s804,s726,s141,s142,s143,s57,s39,s381,s741,s185,s186,s187,s109,s110,s111,s50,s34,s845,s842,s528,s603,s802,s835,s821,s169,s170,s171,s172,s1]) ).

cnf(s847,plain,
    ( spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s770,s85,s86,s87]) ).

cnf(s848,plain,
    ( ~ spl0_20
    | ~ spl0_43
    | spl0_54
    | ~ spl0_15 ),
    inference(rat,[],[s691,s201,s202,s203,s55,s847,s658]) ).

cnf(s849,plain,
    ( spl0_18
    | ~ spl0_38 ),
    inference(rat,[],[s786,s117,s118,s119]) ).

cnf(s851,plain,
    ( spl0_51
    | ~ spl0_45 ),
    inference(rat,[],[s381,s185,s186,s187]) ).

cnf(s852,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s660,s157,s158,s159,s24,s849,s26,s844,s848,s50,s528,s603,s842,s802,s69,s851,s57,s821,s169,s170,s171,s724,s177,s178,s179,s66,s825,s165,s166,s167,s168,s846]) ).

cnf(s853,plain,
    ( ~ spl0_9
    | ~ spl0_43 ),
    inference(rat,[],[s660,s157,s158,s159]) ).

cnf(s855,plain,
    ( spl0_14
    | ~ spl0_23
    | ~ spl0_48 ),
    inference(rat,[],[s715,s804,s142,s143]) ).

cnf(s857,plain,
    ( ~ spl0_88
    | ~ spl0_87
    | ~ spl0_58
    | ~ spl0_48 ),
    inference(rat,[],[s751,s450]) ).

cnf(s861,plain,
    ( spl0_5
    | ~ spl0_48 ),
    inference(rat,[],[s805,s125,s126,s127]) ).

cnf(s862,plain,
    ( ~ spl0_19
    | ~ spl0_48
    | ~ spl0_43 ),
    inference(rat,[],[s737,s578,s121,s122,s123]) ).

cnf(s863,plain,
    ( spl0_18
    | ~ spl0_25
    | ~ spl0_5
    | spl0_29
    | spl0_34
    | ~ spl0_15 ),
    inference(rat,[],[s498,s575,s146,s147,s49,s29,s788,s463,s461,s26,s849,s117,s118,s119]) ).

cnf(s864,plain,
    ( spl0_28
    | ~ spl0_43
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s498,s575,s146,s147,s29,s331,s48,s550,s836,s24,s863,s13,s862,s861,s46,s168,s167,s165,s846,s599,s97,s98,s99,s4,s853,s852]) ).

cnf(s865,plain,
    ( ~ spl0_43
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s268,s575,s145,s146,s147,s29,s331,s48,s550,s836,s24,s833,s864,s599,s97,s98,s99,s4,s853,s168,s167,s165,s846,s852]) ).

cnf(s866,plain,
    ( ~ spl0_19
    | ~ spl0_48
    | ~ spl0_62 ),
    inference(rat,[],[s701,s578,s121,s122,s123]) ).

cnf(s867,plain,
    ( ~ spl0_180
    | ~ spl0_50
    | spl0_153
    | spl0_155
    | spl0_43
    | spl0_1 ),
    inference(rat,[],[s851,s57,s50,s610,s631,s724,s177,s178,s179,s66,s825,s165,s166,s167,s168,s846]) ).

cnf(s868,plain,
    ( spl0_28
    | spl0_34
    | spl0_1 ),
    inference(rat,[],[s498,s575,s146,s147,s29,s303,s867,s13,s866,s49,s323,s490,s197,s199,s161,s162,s163,s35,s25,s63,s682,s855,s857,s450,s861,s46,s72,s473,s141,s142,s143,s39,s741,s110,s109,s111,s34,s865,s168,s846]) ).

cnf(s869,plain,
    ( ~ spl0_48
    | ~ spl0_8
    | ~ spl0_87
    | ~ spl0_88
    | spl0_89
    | ~ spl0_15 ),
    inference(rat,[],[s31,s323,s329,s490,s161,s162,s163,s25,s63,s682,s855,s857,s450,s39,s741]) ).

cnf(s870,plain,
    ( spl0_34
    | spl0_1 ),
    inference(rat,[],[s819,s57,s701,s851,s121,s122,s69,s43,s869,s832,s868,s72,s473,s141,s142,s143,s39,s741,s109,s110,s111,s34,s865,s724,s177,s178,s179,s66,s825,s165,s166,s167,s168,s846]) ).

cnf(s871,plain,
    ( spl0_41
    | ~ spl0_36
    | ~ spl0_25
    | spl0_29
    | spl0_1 ),
    inference(rat,[],[s60,s575,s689,s498,s678,s146,s147,s193,s194,s29,s30,s724,s179,s423,s457,s870,s178,s177,s66,s825,s165,s166,s167,s168,s846]) ).

cnf(s872,plain,
    ( spl0_116
    | spl0_115
    | ~ spl0_50
    | ~ spl0_25 ),
    inference(rat,[],[s498,s575]) ).

cnf(s873,plain,
    ( spl0_33
    | ~ spl0_34 ),
    inference(rat,[],[s529,s197,s198,s199]) ).

cnf(s874,plain,
    ( spl0_57
    | spl0_1 ),
    inference(rat,[],[s746,s149,s150,s151,s59,s60,s423,s457,s178,s177,s66,s825,s165,s166,s167,s168,s846,s873,s870]) ).

cnf(s875,plain,
    ( spl0_37
    | ~ spl0_25
    | spl0_29
    | spl0_1 ),
    inference(rat,[],[s689,s678,s193,s194,s42,s356,s331,s871,s25,s713,s457,s870,s177,s179,s178,s66,s825,s165,s166,s167,s168,s846,s874]) ).

cnf(s876,plain,
    ( ~ spl0_25
    | ~ spl0_43
    | spl0_1 ),
    inference(rat,[],[s498,s575,s146,s147,s29,s331,s48,s550,s836,s875,s168,s167,s165,s846,s599,s97,s98,s99,s4,s853,s852]) ).

cnf(s877,plain,
    ( spl0_28
    | ~ spl0_43
    | spl0_1 ),
    inference(rat,[],[s862,s13,s46,s168,s846,s876]) ).

cnf(s878,plain,
    ( ~ spl0_43
    | spl0_1 ),
    inference(rat,[],[s323,s490,s31,s161,s162,s163,s849,s63,s25,s24,s662,s836,s153,s154,s155,s48,s638,s580,s105,s106,s107,s11,s832,s877,s876,s853,s713,s457,s870,s177,s179,s178,s66,s825,s165,s166,s167,s168,s846,s874]) ).

cnf(s879,plain,
    ( ~ spl0_21
    | ~ spl0_48
    | ~ spl0_58 ),
    inference(rat,[],[s751,s450,s109,s110]) ).

cnf(s880,plain,
    ( spl0_28
    | spl0_1 ),
    inference(rat,[],[s872,s146,s147,s10,s879,s13,s49,s866,s861,s46,s713,s789,s195,s703,s73,s678,s689,s874,s194,s193,s30,s331,s550,s724,s179,s423,s457,s178,s177,s66,s825,s165,s166,s167,s35,s873,s870,s878,s168,s846]) ).

cnf(s881,plain,
    spl0_1,
    inference(rat,[],[s819,s640,s121,s122,s123,s43,s861,s49,s638,s580,s105,s106,s107,s11,s213,s787,s57,s86,s87,s353,s67,s691,s201,s202,s203,s8,s497,s89,s90,s91,s849,s70,s31,s832,s880,s703,s73,s678,s789,s689,s193,s194,s195,s30,s700,s331,s550,s35,s878,s874,s873,s423,s457,s870,s724,s177,s178,s179,s66,s825,s165,s166,s167,s168,s846]) ).

cnf(s882,plain,
    spl0_15,
    inference(rat,[],[s176,s881]) ).

cnf(s883,plain,
    ~ spl0_137,
    inference(rat,[],[s175,s881]) ).

cnf(s884,plain,
    spl0_136,
    inference(rat,[],[s174,s881]) ).

cnf(s885,plain,
    ~ spl0_135,
    inference(rat,[],[s173,s881]) ).

cnf(s886,plain,
    ~ spl0_41,
    inference(rat,[],[s394,s883,s884,s885]) ).

cnf(s887,plain,
    ( spl0_33
    | ~ spl0_54
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(rat,[],[s303,s610,s197,s199]) ).

cnf(s888,plain,
    ( ~ spl0_55
    | ~ spl0_50 ),
    inference(rat,[],[s746,s149,s150,s151]) ).

cnf(s889,plain,
    ( spl0_34
    | spl0_37
    | ~ spl0_25
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(rat,[],[s689,s678,s193,s194,s25,s30,s713,s724,s573,s177,s178,s179,s59,s20,s887,s848,s26,s863,s888,s49,s790,s231,s190,s191,s189,s31,s849,s24,s853,s882,s886]) ).

cnf(s890,plain,
    ( spl0_22
    | ~ spl0_50
    | ~ spl0_25 ),
    inference(rat,[],[s872,s146,s147]) ).

cnf(s892,plain,
    ( ~ spl0_24
    | ~ spl0_52 ),
    inference(rat,[],[s580,s105,s106,s107]) ).

cnf(s893,plain,
    ( spl0_37
    | ~ spl0_25
    | ~ spl0_48
    | ~ spl0_43 ),
    inference(rat,[],[s678,s689,s193,s194,s30,s726,s25,s804,s855,s141,s142,s143,s23,s892,s638,s59,s873,s889,s888,s49,s790,s231,s189,s190,s191,s31,s849,s24,s853,s861,s886,s882]) ).

cnf(s894,plain,
    ( ~ spl0_48
    | ~ spl0_43
    | spl0_28 ),
    inference(rat,[],[s501,s623,s182,s183,s22,s676,s10,s137,s138,s139,s890,s879,s27,s48,s61,s836,s893,s13,s862,s861,s853,s882,s886]) ).

cnf(s895,plain,
    ( spl0_6
    | ~ spl0_23
    | ~ spl0_43 ),
    inference(rat,[],[s560,s623,s181,s182,s183]) ).

cnf(s896,plain,
    ( spl0_54
    | spl0_37
    | spl0_55
    | spl0_48
    | ~ spl0_43 ),
    inference(rat,[],[s753,s750,s113,s114,s115,s732,s36,s68,s895,s825,s165,s166,s167,s25,s465,s59,s44,s676,s728,s873,s137,s138,s139,s26,s54,s848,s849,s24,s853,s882]) ).

cnf(s897,plain,
    ( ~ spl0_54
    | spl0_48
    | ~ spl0_43 ),
    inference(rat,[],[s819,s737,s121,s122,s123,s47,s473,s141,s142,s143,s7,s761,s853,s882]) ).

cnf(s898,plain,
    ( ~ spl0_50
    | spl0_48
    | ~ spl0_43 ),
    inference(rat,[],[s781,s367,s85,s86,s87,s55,s51,s838,s836,s896,s888,s584,s897,s882]) ).

cnf(s899,plain,
    ( ~ spl0_43
    | spl0_28 ),
    inference(rat,[],[s678,s689,s25,s60,s713,s473,s457,s193,s194,s141,s142,s143,s26,s177,s178,s179,s42,s39,s849,s62,s732,s24,s662,s836,s153,s154,s155,s48,s898,s848,s897,s894,s853,s882]) ).

cnf(s900,plain,
    ( spl0_37
    | ~ spl0_48
    | spl0_28 ),
    inference(rat,[],[s50,s851,s631,s57,s303,s887,s29,s890,s13,s866,s72,s726,s49,s473,s804,s490,s141,s142,s143,s161,s162,s163,s39,s63,s741,s879,s109,s110,s111,s34,s873,s197,s199,s35,s899,s861,s882,s886]) ).

cnf(s901,plain,
    ( ~ spl0_21
    | ~ spl0_46 ),
    inference(rat,[],[s741,s109,s110,s111]) ).

cnf(s902,plain,
    ( ~ spl0_26
    | ~ spl0_34
    | ~ spl0_23 ),
    inference(rat,[],[s457,s713,s177,s178,s179]) ).

cnf(s903,plain,
    ( spl0_22
    | ~ spl0_27 ),
    inference(rat,[],[s246,s145,s146,s147]) ).

cnf(s906,plain,
    ( ~ spl0_2
    | ~ spl0_59 ),
    inference(rat,[],[s825,s165,s166,s167]) ).

cnf(s912,plain,
    ( ~ spl0_10
    | ~ spl0_29 ),
    inference(rat,[],[s599,s97,s98,s99]) ).

cnf(s913,plain,
    ( ~ spl0_23
    | ~ spl0_48
    | spl0_43 ),
    inference(rat,[],[s366,s81,s82,s83,s5,s912,s29,s903,s12,s902,s34,s901,s39,s855,s861,s886,s882]) ).

cnf(s914,plain,
    ( ~ spl0_26
    | ~ spl0_31
    | ~ spl0_34 ),
    inference(rat,[],[s423,s457,s177,s178]) ).

cnf(s915,plain,
    ( spl0_21
    | spl0_26
    | spl0_23 ),
    inference(rat,[],[s903,s12,s10,s882]) ).

cnf(s916,plain,
    ( ~ spl0_21
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(rat,[],[s682,s450,s109,s110,s111]) ).

cnf(s917,plain,
    ( ~ spl0_19
    | ~ spl0_57
    | ~ spl0_48
    | spl0_28 ),
    inference(rat,[],[s678,s689,s73,s193,s194,s52,s811,s866,s121,s122,s123,s914,s915,s913,s34,s916,s900,s899,s882]) ).

cnf(s918,plain,
    ( ~ spl0_50
    | ~ spl0_48
    | spl0_28 ),
    inference(rat,[],[s13,s917,s59,s890,s888,s10,s913,s873,s34,s916,s900,s899,s882]) ).

cnf(s919,plain,
    ( ~ spl0_48
    | spl0_28 ),
    inference(rat,[],[s689,s789,s193,s194,s195,s49,s30,s60,s918,s724,s914,s177,s178,s179,s915,s34,s916,s913,s900,s861,s899,s882,s886]) ).

cnf(s920,plain,
    ( spl0_11
    | ~ spl0_23 ),
    inference(rat,[],[s366,s81,s82,s83]) ).

cnf(s921,plain,
    ( spl0_56
    | ~ spl0_23
    | ~ spl0_37 ),
    inference(rat,[],[s781,s367,s85,s86,s87]) ).

cnf(s922,plain,
    ( ~ spl0_17
    | ~ spl0_60 ),
    inference(rat,[],[s691,s201,s202,s203]) ).

cnf(s923,plain,
    ( ~ spl0_19
    | ~ spl0_54
    | ~ spl0_58 ),
    inference(rat,[],[s819,s640,s121,s122,s123]) ).

cnf(s924,plain,
    ( ~ spl0_31
    | spl0_48 ),
    inference(rat,[],[s473,s141,s142,s143,s39,s556,s882]) ).

cnf(s925,plain,
    ( ~ spl0_23
    | spl0_45
    | spl0_59
    | ~ spl0_37
    | ~ spl0_19 ),
    inference(rat,[],[s923,s703,s55,s76,s922,s849,s67,s37,s921,s920,s882]) ).

cnf(s926,plain,
    ( ~ spl0_33
    | spl0_28 ),
    inference(rat,[],[s888,s59,s60,s636,s678,s73,s703,s662,s153,s154,s155,s51,s925,s851,s69,s906,s35,s44,s899,s194,s193,s52,s811,s121,s122,s123,s47,s924,s919,s882]) ).

cnf(s927,plain,
    ( ~ spl0_11
    | spl0_28 ),
    inference(rat,[],[s922,s55,s67,s847,s26,s849,s37,s667,s851,s744,s50,s60,s631,s637,s303,s16,s199,s198,s197,s111,s109,s34,s899,s819,s701,s72,s873,s926,s121,s122,s47,s924,s919,s882]) ).

cnf(s928,plain,
    spl0_28,
    inference(rat,[],[s851,s69,s57,s667,s525,s744,s834,s60,s636,s678,s25,s703,s662,s153,s154,s155,s51,s920,s927,s819,s701,s109,s110,s111,s72,s34,s873,s926,s193,s194,s52,s811,s121,s122,s123,s47,s924,s919,s899,s882]) ).

cnf(s929,plain,
    spl0_8,
    inference(rat,[],[s832,s928]) ).

cnf(s930,plain,
    spl0_176,
    inference(rat,[],[s272,s885,s883,s928]) ).

cnf(s931,plain,
    spl0_38,
    inference(rat,[],[s31,s882,s886,s929]) ).

cnf(s932,plain,
    ~ spl0_59,
    inference(rat,[],[s824,s884,s883,s930]) ).

cnf(s933,plain,
    spl0_18,
    inference(rat,[],[s849,s931]) ).

cnf(s934,plain,
    ~ spl0_23,
    inference(rat,[],[s837,s48,s146,s147,s836,s29,s901,s24,s912,s39,s853,s5,s855,s913,s861,s69,s851,s37,s920,s928,s882,s886,s933,s932]) ).

cnf(s936,plain,
    ( ~ spl0_21
    | ~ spl0_48 ),
    inference(rat,[],[s869,s109,s110,s111,s929,s882]) ).

cnf(s937,plain,
    ~ spl0_48,
    inference(rat,[],[s836,s48,s25,s853,s570,s34,s423,s914,s60,s636,s789,s193,s194,s195,s30,s49,s724,s837,s177,s178,s179,s146,s147,s915,s10,s936,s861,s882,s934,s886,s928]) ).

cnf(s938,plain,
    ~ spl0_31,
    inference(rat,[],[s924,s937]) ).

cnf(s940,plain,
    spl0_49,
    inference(rat,[],[s45,s933,s882,s937]) ).

cnf(s941,plain,
    spl0_19,
    inference(rat,[],[s47,s937,s882,s938]) ).

cnf(s946,plain,
    ~ spl0_107,
    inference(rat,[],[s135,s940]) ).

cnf(s947,plain,
    spl0_106,
    inference(rat,[],[s134,s940]) ).

cnf(s948,plain,
    spl0_105,
    inference(rat,[],[s133,s940]) ).

cnf(s949,plain,
    spl0_98,
    inference(rat,[],[s123,s941]) ).

cnf(s950,plain,
    spl0_97,
    inference(rat,[],[s122,s941]) ).

cnf(s951,plain,
    spl0_96,
    inference(rat,[],[s121,s941]) ).

cnf(s953,plain,
    ~ spl0_37,
    inference(rat,[],[s778,s946,s947,s948]) ).

cnf(s955,plain,
    ~ spl0_53,
    inference(rat,[],[s811,s949,s950,s951]) ).

cnf(s959,plain,
    spl0_36,
    inference(rat,[],[s25,s934,s882,s953]) ).

cnf(s961,plain,
    spl0_39,
    inference(rat,[],[s51,s934,s882,s955]) ).

cnf(s962,plain,
    spl0_42,
    inference(rat,[],[s329,s931,s959]) ).

cnf(s968,plain,
    spl0_122,
    inference(rat,[],[s155,s961]) ).

cnf(s969,plain,
    spl0_121,
    inference(rat,[],[s154,s961]) ).

cnf(s970,plain,
    spl0_120,
    inference(rat,[],[s153,s961]) ).

cnf(s972,plain,
    ~ spl0_58,
    inference(rat,[],[s662,s968,s969,s970]) ).

cnf(s977,plain,
    spl0_30,
    inference(rat,[],[s63,s953,s882,s972]) ).

cnf(s980,plain,
    ~ spl0_128,
    inference(rat,[],[s163,s977]) ).

cnf(s981,plain,
    spl0_127,
    inference(rat,[],[s162,s977]) ).

cnf(s982,plain,
    ~ spl0_126,
    inference(rat,[],[s161,s977]) ).

cnf(s989,plain,
    $false,
    inference(rat,[],[s490,s980,s962,s981,s982]) ).

fof(f3138,plain,
    $false,
    inference(avatar_sat_refutation,[],[s989]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN488+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n002.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 16:18:37 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.33  % (486385)Will run a generic schedule for satisfiability detection.
% 0.20/0.33  % (486390)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3191145716_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.33  % (486391)% WARNING: option uhcvi not known.
% 0.20/0.33  % Detected minimum model sizes of [1]
% 0.20/0.33  % Detected maximum model sizes of [32]
% 0.20/0.33  % TRYING [1]
% 0.20/0.33  % TRYING [2]
% 0.20/0.33  % TRYING [3]
% 0.20/0.33  % (486391)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2941994244:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.33  % (486392)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2462168314:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.33  % (486394)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1067074818:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.33  % (486393)dis+10_1_sil=32000:sp=arity:random_seed=2588393549:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.33  % TRYING [4]
% 0.20/0.33  % (486395)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2245931962:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.33  % (486396)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1889430203:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.33  % TRYING [5]
% 0.20/0.33  % (486396) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-486385-486396"...
% 0.20/0.33  % (486393) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-486385-486393"...
% 0.20/0.33  % (486396)...printing done.
% 0.20/0.33  % (486394) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-486385-486394"...
% 0.20/0.33  % (486396)Refutation found. Thanks to Tanya!
% 0.20/0.33  % SZS status Theorem for theBenchmark
% 0.20/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.35  % (486396)------------------------------
% 0.20/0.35  % (486396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35  % (486396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35  % (486396)CaDiCaL version: 2.1.3
% 0.20/0.35  % (486396)Termination reason: Refutation
% 0.20/0.35  % (486396)Time elapsed: 0.049 s
% 0.20/0.35  % (486396)Peak memory usage: 14 MB
% 0.20/0.35  % (486396)Instructions burned: 82 (million)
% 0.20/0.35  % (486385)Success in time 0.096 s
% 0.20/0.35  % Vampire exiting
%------------------------------------------------------------------------------